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: Find number of non - pet owners

Given 3 people have no pets.

Step2: Calculate the ratio

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

Step1: Find number of non - prize winners

There are 30 callers and 3 are prize winners, so non - prize winners are $30 - 3=27$.

Step2: Calculate the ratio

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

Hearts and diamonds are two parts of a set of cards, so it's a part - to - part comparison, not part - to - whole.

Answer:

$\frac{3}{10}$

5.