Question

unit 2

1. there are 10 houses on your street. of the owners, 5 have dogs, 2 have cats, and 3 have no pets. what is the ratio of people who do not have pets to the total number of houses?
2. a radio station awarded prizes to 3 callers out of 30 callers during the morning show today. what is the ratio of non - prize winners to prize winners?

activity 3
read each statement. tell whether it is true or false.

1. the ratio of hearts to diamonds in a set of cards is 3 to 2. this is a part - to - whole comparison.
2. fractions always compare part - to - whole relationships.
3. ratios always compare part - to - whole relationships.
4. a power tool requires an oil - to - gas ratio of 1 to 16. this means 1 part of oil is added for every 16 parts of gas.

Explanation:

4.

Step1: Identify the numbers

The number of people who do not have pets is 3, and the total number of houses is 10.

Step2: Write the ratio

The ratio of people who do not have pets to the total number of houses is $\frac{3}{10}$ or 3:10.

Step1: Calculate non - prize winners

The number of non - prize winners is $30 - 3=27$.

Step2: Write the ratio

The ratio of non - prize winners to prize winners is $\frac{27}{3}=\frac{9}{1}$ or 9:1.

A part - to - whole comparison is of one part to the entire set. Here, hearts and diamonds are two parts, so it's a part - to - part comparison.

Answer:

3:10

5.