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?

1. 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 $\frac{3}{10}$.

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 $\frac{27}{3}=\frac{9}{1}$.

1.

A ratio of 3 to 2 of hearts to diamonds is a part - to - part comparison, not part - to - whole. So it is false.

2.

Fractions represent a part of a whole, so they always compare part - to - whole relationships. It is true.

3.

Ratios can be part - to - part (e.g. ratio of boys to girls in a class) or part - to - whole (e.g. ratio of boys to total students in a class). So the statement that ratios always compare part - to - whole relationships is false.

4.

An oil - to - gas ratio of 1 to 16 means 1 part of oil is added for every 16 parts of gas. It is true.

Answer:

$\frac{3}{10}$

5.