Question

the ratio of minutes to dry and minutes to wash is 4:3. how many minutes will a load need to wash it if takes 56 minutes to dry?

Explanation:

Step1: Define variables and ratio

Let \( d \) be dry minutes and \( w \) be wash minutes. The ratio \( d:w = 4:3 \), so \( \frac{d}{w}=\frac{4}{3} \). We know \( d = 56 \), substitute into the ratio: \( \frac{56}{w}=\frac{4}{3} \).

Step2: Solve for \( w \)

Cross - multiply: \( 4w=56\times3 \). Calculate \( 56\times3 = 168 \), so \( 4w = 168 \). Divide both sides by 4: \( w=\frac{168}{4}=42 \).

Answer:

42