Lesson 8
Percentage Situations
Problem 1
A car dealership pays $8,350 for a car. They mark up the price by 17.4% to get the retail price. What is the retail price of the car at this dealership?
Solution
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Problem 2
A store has a 20% off sale on pants. With this discount, the price of one pair of pants before tax is $15.20. What was the original price of the pants?
$3.04
$12.16
$18.24
$19.00
Solution
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Problem 3
A music store marks up the instruments it sells by 30%.
- If the store bought a guitar for $45, what will be its store price?
- If the price tag on a trumpet says $104, how much did the store pay for it?
- If the store paid $75 for a clarinet and sold it for $100, did the store mark up the price by 30%?
Solution
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Problem 4
A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77.
- How much was the tip in dollars?
- How much was the tip as a percentage of the bill?
Solution
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Problem 5
The price of gold is often reported per ounce. At the end of 2005, this price was $513. At the end of 2015, it was $1060. By what percentage did the price per ounce of gold increase?
Solution
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Problem 6
A phone keeps track of the number of steps taken and the distance traveled. Based on the information in the table, is there a proportional relationship between the two quantities? Explain your reasoning.
number of steps | distance in kilometers |
---|---|
950 | 1 |
2,852 | 3 |
4,845 | 5.1 |
Solution
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(From Unit 5, Lesson 4.)Problem 7
A college student takes out a $7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet):
-
if the bank charges 3.8% interest each year?
- if the bank charges 5.3% interest each year?
Solution
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(From Unit 6, Lesson 6.)Problem 8
Match the situations with the equations.
- Mai slept for \(x\) hours, and Kiran slept for \(\frac{1}{10}\) less than that.
- Kiran practiced the piano for \(x\) hours, and Mai practiced for \(\frac25\) less than that.
- Mai drank \(x\) oz of juice and Kiran drank \(\frac43\) more than that.
- Kiran spent \(x\) dollars and Mai spent \(\frac14\) less than that.
- Mai ate \(x\) grams of almonds and Kiran ate 1.5 times more than that.
- Kiran collected \(x\) pounds of recycling and Mai collected \(\frac{3}{10}\) less than that.
- Mai walked \(x\) kilometers and Kiran walked \(\frac38\) more than that.
- Kiran completed \(x\) puzzles and Mai completed \(\frac35\) more than that.
\(y=2.33x\)
\(y=1.375x\)
\(y=0.6x\)
\(y=0.9x\)
\(y=0.75x\)
\(y=1.6x\)
\(y=0.7x\)
\(y=2.5x\)
Solution
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(From Unit 6, Lesson 2.)