A basket contains red apples and green apples in a ratio of 2:5. If there are 35 apples in… — ACT

A basket contains red apples and green apples in a ratio of $2:5$ . If there are 35 apples in the basket, how many green apples are in the basket?

To find the number of green apples, first determine the total number of parts in the ratio by adding the two components:

2 + 5 = 7

parts. Next, divide the total number of apples in the basket by the total parts to find the value of each part:

35 \div 7 = 5

apples per part. Finally, multiply the number of parts representing green apples (

5

parts) by the value of each part (

5

5 \times 5 = 25

. Therefore, the correct quantity of green apples in the basket is 25.

Find the total number of parts in the ratio.

2 + 5 = 7

parts

The ratio of red apples to green apples is

2:5

, so the total quantity is divided into

7

equal parts.

Calculate the value of a single part of the ratio.

35 \div 7 = 5

apples per part

Divide the total number of apples (

35

) by the total number of parts (

7

) to find how many apples make up one part.

Multiply the value of a single part by the number of parts representing green apples.

5 \text{ parts} \times 5 \text{ apples/part} = 25

green apples

Since green apples represent

5

parts of the ratio, multiply

5

by the value of one part (

5

) to find the total number of green apples.

Solving word problems involving part-to-part ratios and totals by finding the unit value per ratio part.

Question