Outlier
05-23-2013, 10:11 AM
Hey guys, I'm just having trouble with some algebra word problems. I just really badly need to understand them before I take a test next week. It would help so much if you guys could help. Most are solved already, but some are not. I need help solving the ones that haven't been solved. Also, if you guys think there are any problems about any of the solutions I have for the others, please assist me. Also, there are some that I need to have more clarity because I'm not sure I totally understand them. Here they are guys. Thank you so much.
A construction job was bid with labor cost $80,000, equipment operating cost of $50,000, and material cost of $50,000. If the total bid for the job was $260,000, and the value of the equipment was $200,000, what was the net return on assets for this job?
260-(80+50+50)=80k/200k= rona
Can anyone make this more elaborate?
Jill starts at a salary of $30,000 per year and receives benefits that cost the company 50% of her salary. She gets 12 weeks of training, 2 weeks of vacation, and 10 paid holidays. Using 52 weeks per year, 40 hours per week, 8 hours per day, and not counting the trainer's cost, how much does it cost the company for every DAY in the first year that she is available to help a customer?
260-(60+10+10)=180 days she works, 45000 total cost/180= cost per day
Suppose a company did $2,000,000 in annual maintenance in 2007 and expects 90% of those to renew for 2008. Suppose that product sales for 2007 were $2,000,000 (which included a free year of maintenance) and 70% of those were expected to pay an annual maintenance of 15% of the purchase price in 2008. What will be the annual maintenance collected in 2008?
I don't know how to solve this one.
A baseball team has won 21 of their first 60 games. If the season has 90 games, how many more games must the team win to finish the season having won 40% of their games overall?
First 60 games: W:21 L:39 90 game season, 40% of games end of season.
90 x 0.40 = 36 Must win 36 games to be at 40%
36-21 = 15.
If a salesman has a base salary of $35,000 per year and makes 10% commission on each sale, how much must he do in sales to make a total of $79,000 for the year?
79 - 35 = 44k per year from commissions. If he gets 10% on each sale, then he must be pulling in 44k * 10 or 440,000 in sales.
Mary made 10% more than Susan before Susan's 80 cent per hour raise to $11.00 per hour. How much does Mary make per hour?
Mary rate = 1.10 (11.00 - 0.80) = 11.22
A worker has a base pay of $8.20 per hour, gets 50% more per hour after 8 hours in a day, and gets 50% more per hour after 12 hours. How much would he make in a 14 hour day?
base pay 8.20 per hour for 14 hours = $114.80
50% more per hour after 8 hours ----- $4.10 per hour for 6 hours = $24.60
50% more per hour after 12 hours ----- $4.10 per hour for 2 hours = $8.20
Total pay in 14 hours = $147.60
A taxi charges $1.20 for the first 1/6 mile and $0.40 for each additional 1/6 mile. If the taxi fare was $18.80, how far did the taxi drive?
Still not sure how to solve this one
A company wishes to make $7,500,000 per year in sales. 40% of revenue is from product sales, 40% is from annual maintenance, and 20% is from training. If there are 5 salesmen, what is the average product sales per month that each salesman must sell?
So you are interested in only product sales
for a year 40% of $7,500,000 is product sales = $3,000,000 per year
There are 5 salesman so they would average $3,000,000/ 5 salemens = $600,000 per year
Since the question was for month------> $600,000 per year / 12 month per year = $50,000 per month
A class contains 16 boys and 15 girls. Of the girls, 20% have blond hair. What percentage of the class are blond haired girls?
1)Of the girls, 20% have blond hair 15 x 0.20= 3 blonde girls in class
2) now find the percentage of blonde girls in class.
3 out of the full class 31 (not just girls)
3 out of 31= 0.096 (depending on how many significant figures you want)
3)Now you multiply by 100 percent to get the percentage
0.096 x 100%= 9.6%
There are 9.6% of blonde girls in class.
A taxi charges $1.60 for the first 1/6 mile and $0.25 for each additional 1/6 mile. What is the cost of taking the taxi 10 miles?
Still confused by this question.
If your salary was $30,000 and was raised 10% each year, what would it be after the end of 5 years (5 raises)?
30,000 X 1.10 = 33,000 year 1
33,000 X 1.10 = 36,300 year 2
36,300 X 1.10 = 39,930 year 3
39,930 X 1.10 = 43,923 year 4
and it's 48,315.3 year 5
Is there an easier formula to do this question?
Working alone, John can do a job in 3 days. Harry could do the same job in 5 days.Assuming a day has 8 hours, how many hours will it take them working together to do the job, assuming their productivity does not change working together.
finish job = john rate * 3 days * 8 hours per day = john rate * 24 hours
finish job / 24 hours = john rate
finish job = Harry rate * 5 days * 8 hours per day = Harry rate * 40 hours
finish job/ 40 hours = harry rate
finish job = (john rate + harry rate ) X hours
finish job = (finish job/24 + finish job/40 ) X hours
finish job/ (finish job/24 + finish job/40 ) = X hours
finish job cross out
1/(1/24 + 1/40) = 15 hours
I'm still not quite sure why the "finish jobs" leaves a 1 in this solution. Anyone care to elaborate?
If 40% of a school consists of boys, 30% of the students have blond hair, and three times as many girls as boys have blond hair, what percentage of the school are blond haired boys?
Lets assume school has 100 students. 40 boys, therefore 60 girls.
If 30 students have blond hair and 3x as many girls as boys have blond hair, therefore, 7.5% boys are blond and 22.5% girls are blond.
If a car gets 20 miles to the gallon and gas costs $1.10 per gallon, how much does it cost to go 340 miles?
20 miles per gallon
1.10 dollar per gallon
340 miles
340 miles / 20 miles per gallon ---> the "miles per gallon" get cross out and you are left with 17 /per gallon
then
17 /per gallon X 1.10 dollar per gallon -------> the "per gallon" cancels out and you are left with 18.7 dollars
A construction job was bid with labor cost $80,000, equipment operating cost of $50,000, and material cost of $50,000. If the total bid for the job was $260,000, and the value of the equipment was $200,000, what was the net return on assets for this job?
260-(80+50+50)=80k/200k= rona
Can anyone make this more elaborate?
Jill starts at a salary of $30,000 per year and receives benefits that cost the company 50% of her salary. She gets 12 weeks of training, 2 weeks of vacation, and 10 paid holidays. Using 52 weeks per year, 40 hours per week, 8 hours per day, and not counting the trainer's cost, how much does it cost the company for every DAY in the first year that she is available to help a customer?
260-(60+10+10)=180 days she works, 45000 total cost/180= cost per day
Suppose a company did $2,000,000 in annual maintenance in 2007 and expects 90% of those to renew for 2008. Suppose that product sales for 2007 were $2,000,000 (which included a free year of maintenance) and 70% of those were expected to pay an annual maintenance of 15% of the purchase price in 2008. What will be the annual maintenance collected in 2008?
I don't know how to solve this one.
A baseball team has won 21 of their first 60 games. If the season has 90 games, how many more games must the team win to finish the season having won 40% of their games overall?
First 60 games: W:21 L:39 90 game season, 40% of games end of season.
90 x 0.40 = 36 Must win 36 games to be at 40%
36-21 = 15.
If a salesman has a base salary of $35,000 per year and makes 10% commission on each sale, how much must he do in sales to make a total of $79,000 for the year?
79 - 35 = 44k per year from commissions. If he gets 10% on each sale, then he must be pulling in 44k * 10 or 440,000 in sales.
Mary made 10% more than Susan before Susan's 80 cent per hour raise to $11.00 per hour. How much does Mary make per hour?
Mary rate = 1.10 (11.00 - 0.80) = 11.22
A worker has a base pay of $8.20 per hour, gets 50% more per hour after 8 hours in a day, and gets 50% more per hour after 12 hours. How much would he make in a 14 hour day?
base pay 8.20 per hour for 14 hours = $114.80
50% more per hour after 8 hours ----- $4.10 per hour for 6 hours = $24.60
50% more per hour after 12 hours ----- $4.10 per hour for 2 hours = $8.20
Total pay in 14 hours = $147.60
A taxi charges $1.20 for the first 1/6 mile and $0.40 for each additional 1/6 mile. If the taxi fare was $18.80, how far did the taxi drive?
Still not sure how to solve this one
A company wishes to make $7,500,000 per year in sales. 40% of revenue is from product sales, 40% is from annual maintenance, and 20% is from training. If there are 5 salesmen, what is the average product sales per month that each salesman must sell?
So you are interested in only product sales
for a year 40% of $7,500,000 is product sales = $3,000,000 per year
There are 5 salesman so they would average $3,000,000/ 5 salemens = $600,000 per year
Since the question was for month------> $600,000 per year / 12 month per year = $50,000 per month
A class contains 16 boys and 15 girls. Of the girls, 20% have blond hair. What percentage of the class are blond haired girls?
1)Of the girls, 20% have blond hair 15 x 0.20= 3 blonde girls in class
2) now find the percentage of blonde girls in class.
3 out of the full class 31 (not just girls)
3 out of 31= 0.096 (depending on how many significant figures you want)
3)Now you multiply by 100 percent to get the percentage
0.096 x 100%= 9.6%
There are 9.6% of blonde girls in class.
A taxi charges $1.60 for the first 1/6 mile and $0.25 for each additional 1/6 mile. What is the cost of taking the taxi 10 miles?
Still confused by this question.
If your salary was $30,000 and was raised 10% each year, what would it be after the end of 5 years (5 raises)?
30,000 X 1.10 = 33,000 year 1
33,000 X 1.10 = 36,300 year 2
36,300 X 1.10 = 39,930 year 3
39,930 X 1.10 = 43,923 year 4
and it's 48,315.3 year 5
Is there an easier formula to do this question?
Working alone, John can do a job in 3 days. Harry could do the same job in 5 days.Assuming a day has 8 hours, how many hours will it take them working together to do the job, assuming their productivity does not change working together.
finish job = john rate * 3 days * 8 hours per day = john rate * 24 hours
finish job / 24 hours = john rate
finish job = Harry rate * 5 days * 8 hours per day = Harry rate * 40 hours
finish job/ 40 hours = harry rate
finish job = (john rate + harry rate ) X hours
finish job = (finish job/24 + finish job/40 ) X hours
finish job/ (finish job/24 + finish job/40 ) = X hours
finish job cross out
1/(1/24 + 1/40) = 15 hours
I'm still not quite sure why the "finish jobs" leaves a 1 in this solution. Anyone care to elaborate?
If 40% of a school consists of boys, 30% of the students have blond hair, and three times as many girls as boys have blond hair, what percentage of the school are blond haired boys?
Lets assume school has 100 students. 40 boys, therefore 60 girls.
If 30 students have blond hair and 3x as many girls as boys have blond hair, therefore, 7.5% boys are blond and 22.5% girls are blond.
If a car gets 20 miles to the gallon and gas costs $1.10 per gallon, how much does it cost to go 340 miles?
20 miles per gallon
1.10 dollar per gallon
340 miles
340 miles / 20 miles per gallon ---> the "miles per gallon" get cross out and you are left with 17 /per gallon
then
17 /per gallon X 1.10 dollar per gallon -------> the "per gallon" cancels out and you are left with 18.7 dollars