Question

unit 1 review - ratios and rates
name cannay 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): explanation: ratio (numbers): explanation: ratio (numbers): explanation:

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?

find each unit rate.

1. \\(\frac{18\text{ feet}}{15\text{ seconds}}\\) 5. \\(\frac{\text{miles}}{\text{hour}}\\)

Explanation:

Step1: Find the number of adults

The ratio of children to adults is 8:5. Let the number of adults be $x$. We set up a proportion $\frac{8}{5}=\frac{120}{x}$. Cross - multiply: $8x = 120\times5$.
$8x=600$
Then solve for $x$ by dividing both sides by 8: $x=\frac{600}{8}=75$.

Step2: Find the total number of tickets sold

The total number of tickets is the sum of children's and adults' tickets. Children's tickets are 120 and adults' tickets are 75. So the total number of tickets is $120 + 75=195$.

Answer:

The number of adults is 75 and the total number of tickets sold is 195.