Questions: There are 4 green apples and 7 red apples in a basket. (a) What is the ratio of all apples in the basket to green apples? (b) What is the ratio of red apples to all apples in the basket?

There are 4 green apples and 7 red apples in a basket.
(a) What is the ratio of all apples in the basket to green apples?

(b) What is the ratio of red apples to all apples in the basket?

Transcript text: There are 4 green apples and 7 red apples in a basket. (a) What is the ratio of all apples in the basket to green apples? $\square$ (b) What is the ratio of red apples to all apples in the basket? $\square$

Solution

Solution Steps

Solution Approach

(a) To find the ratio of all apples in the basket to green apples, we need to calculate the total number of apples and then form a ratio with the number of green apples.

(b) To find the ratio of red apples to all apples in the basket, we calculate the total number of apples and then form a ratio with the number of red apples.

Step 1: Calculate Total Number of Apples

To find the total number of apples in the basket, we add the number of green apples and red apples: \[ \text{Total apples} = 4 + 7 = 11 \]

Step 2: Calculate the Ratio of All Apples to Green Apples

The ratio of all apples to green apples is given by: \[ \text{Ratio of all apples to green apples} = \frac{\text{Total apples}}{\text{Green apples}} = \frac{11}{4} = 2.75 \]

Step 3: Calculate the Ratio of Red Apples to All Apples

The ratio of red apples to all apples is given by: \[ \text{Ratio of red apples to all apples} = \frac{\text{Red apples}}{\text{Total apples}} = \frac{7}{11} \approx 0.6364 \]