Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
13 Cards in this Set
- Front
- Back
Neko and Ruth are both waitresses. Last night Ruth made twice as much as Neko and both girls together made $170. How much did Neko earn last night?
|
Let n be what the question is asking, how much Neko earned. Since Ruth earned twice as much, the amount she earned will be 2n. The equation will look like this:
n + 2n = 170 Now you just need to solve for n. Neko made $56.67 |
|
The price of corn was $4/bushel on January 2009 and $7/bushel on January 2010. By what percentage did the corn price change from January 2009 to January 2010?
|
The price change in percents is 100×(7 - 4)/4 = 75%
|
|
A family plans to spend 5% of its income on vacations? If the annual family income is $70,000, how much can they spend for vacations?
|
5% of $70,000 is 0.05×$70,000 = $3,500
|
|
A number is increased 20% and the resulting number is decreased 50%. The final number is what percent of the original number?
|
If n is the initial number, the final number is 0.5×(1.2×n) = 0.6×n.
The final number is 60% of the original number |
|
A bag of table tennis balls costs $12. There are 15 balls in the bag. How much does each ball cost?
|
The price of a table tennis ball is $12/15 = $0.8
|
|
Lou Ann spends $50 per month for a bus and subway pass. She estimates that if she bought a car, she would spend $105 per month on car payments, $70 per month for parking, $80 per month for gasoline and upkeep, and $75 per month for insurance. About how much does she save per month by using public transportation?
|
First, add to find how much her monthly expenses would be if she used a car.
$105 + $70 + $80 + $75 = $330 Subtract $50 (cost of bus and subway pass) to find how much she saves per month by using public transportation. $330 – $50 = $280 |
|
Mr. Levin sells a load of firewood for $65. He charges an additional $20 if he also stacks the wood. Of the 70 loads he delivered in October, he stacked 18. Which of the following expressions represents the amount he earned in October?
|
For the sale of 70 loads of wood at $65 each, he makes (65)(70) dollars. For stacking 18 loads at $20 each, he makes (20)(18) dollars. Add the two expressions together to get an expression for the total amount he earned in October: (65)(70) + (20)(18)
|
|
A plane flies the 700 miles from Atlanta to Detroit in 1 1/4 hours. What is the plane’s average air speed, in miles per hour?
|
Use the formula r = d ÷ t. Put 700 in place of d and 1 1/4 in place of t.
r= 700 ÷ 1 1/4 r= 700 ÷ 5/4 r = 700 × 4/5 = 140 × 4 = 560 |
|
Roy bought $34.15 worth of materials at the hardware store. A sales tax of 6 percent was added on. What was the final cost?
|
To find the sales tax, find 6% of $34.15. That’s the same as 0.06 × $34.15, which equals $2.0490. The sales tax rounds off to $2.05. Add it to the cost before tax to get the total: $34.15 + $2.05 = $36.20
|
|
A study shows that a contractor employs 6 times as many men as he does women, with a total work force of 490. How many men does the contractor employ?
|
Let w stand for the number of women the contractor employs. Then 6w represents the number of men it employs. Since the total number of employees is 490, w + 6w = 490. Solve this equation for w.
w + 6w = 490 7w = 490 w = 70 Ifw = 70, then 6w (the number of men) equals 420 |
|
A new roll of insulated electrical wire has 200 feet of wire. Mr. Saunders needs pieces that are 6 1/4 feet long. How many full pieces of this length can he cut from the roll?
|
Divide the number of feet of wire in the roll (200) by the size of the pieces he wants (6 1/4 feet).
200 ÷ 6 1/4 = 200 ÷ 25/4 = 200 × 4/25 = 8 × 4 = 32 |
|
A rental store charges a fine of 25 percent of the usual full-day rental rate for each hour that an item is late. Ryan rented a rototiller for one day for $40. He returned it 3 hours late. How much was his total bill for the rental and the fine?
|
The rental fee was $40. For each hour that the return was late, a charge equal to 25% of the rental fee, which is 1/4of $40, or $10, was made. Since the rototiller was returned 3 hours late, the late fee was 3 × $10, or $30. The rental fee plus the late fee was then $40 + $30, or $70
|
|
Marco works from 5:30 P.M. to 7:30 P.M. on Mondays and Wednesdays. On Tuesdays and Thursdays, he works from 3:00 P.M. to 8:30 P.M. How many hours does he work each week?
|
From 5:30 P.M. to 7:30 P.M. is 2 hours. He works those hours on 2 days of the week for a total of 4 hours. From 3:00 P.M. to 8:30 P.M. is 5 hours and 30 minutes, or 5 1/2 hours. He works those hours on 2 days of the week, for a total of 10 2/2, or 11, hours. The Monday and Wednesday total of 4 plus the Tuesday and Thursday total of 11 gives a weekly total of 15 hours.
|