# Lesson 12

Finding the Percentage

Let’s find unknown percentages.

### Problem 1

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%?

### Problem 2

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?

### Problem 3

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?

### Problem 4

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 |

### Problem 5

Noah picked 3 kg of cherries. Mai picked half as many cherries as Noah. How many total kg of cherries did Mai and Noah pick?

\(3 + \frac12\)

\(3 - \frac12\)

\(\left(1+\frac12\right)\boldcdot 3\)

\(1+\frac12\boldcdot 3\)