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:

Step1: Find ratio for question 4

The number of people with no pets is 3 and total houses is 10. So ratio is $\frac{3}{10}$.

Step2: Find ratio for question 5

Number of non - prize winners is $30 - 3=27$, number of prize winners is 3. Ratio of non - prize winners to prize winners is $\frac{27}{3}=\frac{9}{1}$.

Step3: Analyze Activity 3 statements

Statement 1

Ratio of hearts to diamonds is part - to - part comparison, not part - to - whole. So it's false.

Statement 2

Fractions compare part - to - whole relationships. So it's true.

Statement 3

Ratios can be part - to - part or part - to - whole. So it's false.

Statement 4

An oil - to - gas ratio of 1 to 16 means 1 part of oil for every 16 parts of gas. So it's true.

Answer:

1. $\frac{3}{10}$
2. $\frac{9}{1}$

Activity 3:

1. False
2. True
3. False
4. True