Question

unit 1 review ~ ratios and rates
name connor 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 in all?

Explanation:

Step1: Find the greatest - common divisor

The GCD of 12 and 30 is 6.

Step2: Divide both numbers by GCD

$\frac{12\div6}{30\div6}=\frac{2}{5}$

For question 2:

Ratio 1:

The ratio of kittens with black markings to the total number of kittens in the litter.

Ratio 2:

The ratio of kittens without black markings (7 - 5=2) to the total number of kittens in the litter.

Ratio 3:

The ratio of kittens with black markings to kittens without black markings.

For question 3:

Step1: Set up a proportion

Let $x$ be the number of adult tickets sold. The proportion is $\frac{8}{5}=\frac{120}{x}$.

Step2: Cross - multiply

$8x = 120\times5$.

Step3: Solve for $x$

$x=\frac{120\times5}{8}=75$.

Answer:

Ratio (numbers): $5:7$