Question

unit 1 review - ratios and rates
name cancel n period date

1. simplify the ratio 12 to 30.
2. five of seven kittens in a litter had black markings. write three different simplified number ratios using this information. explain the meaning of each ratio using words.

ratio (numbers): 5:12 explanation: markings to all
ratio (numbers): 7:12 explanation: without to all
ratio (numbers): 5:7 explanation: marks to num

1. the ratio of children to adults at a movie theater was 8:5. the theater sold 120 children tickets that evening. how many adults attended the theater that night? how many tickets did the theater sell altogether?
2. find each unit rate.
3. $\frac{\frac{3}{4}\text{ mile}}{\frac{1}{2}\text{ hour}}$

Explanation:

Step1: Find number of adults

Set up proportion using ratio of children to adults. Let $x$ be number of adults. The ratio of children to adults is $8:5$, and 120 children tickets were sold. So $\frac{8}{5}=\frac{120}{x}$. Cross - multiply: $8x = 120\times5$.
$8x=600$
$x=\frac{600}{8}=75$

Step2: Find total number of tickets

Total number of tickets is sum of children and adult tickets. Children tickets = 120, adult tickets = 75.
Total = $120 + 75=195$

Answer:

Number of adults: 75. Total number of tickets: 195.