Question

one month, the ratio of indoor to outdoor play times for yousefs class was 2:3. they had 30 total play times.

how many of the play times were indoors? how many were outdoors?

Explanation:

Identify the given ratio and total

We are given the ratio of indoor to outdoor play times as \(2:3\).
The total number of play times is \(30\).
This is a classic Word Problems scenario involving Ratios and Rates.

Find the total number of parts

Using the Ratios and Rates concept, we add the terms of the ratio to find the total parts:

$$ 2 + 3 = 5 \text{ parts} $$

Determine the value of one part

We divide the total play times by the total parts:

$$ \frac{30}{5} = 6 \text{ play times per part} $$

Calculate indoor and outdoor play times

Multiply the value of one part by each term in the ratio:

• Indoor play times:

$$ 2 \times 6 = 12 $$

• Outdoor play times:

$$ 3 \times 6 = 18 $$

Answer:

Indoors: 12
Outdoors: 18