Question

1. olivia and camille went clothes shopping. camille spent $19.40 less than twice what olivia spent. in total, they spent $272.35. find the amount each girl spent.

Explanation:

Step1: Define variables

Let \( x \) be the amount Olivia spent. Then Camille spent \( 2x - 19.40 \).

Step2: Set up equation

The total amount they spent is \( x+(2x - 19.40)=272.35 \).

Step3: Solve for \( x \)

Combine like terms: \( 3x-19.40 = 272.35 \).
Add 19.40 to both sides: \( 3x=272.35 + 19.40=291.75 \).
Divide by 3: \( x=\frac{291.75}{3}=97.25 \).

Step4: Find Camille's amount

Camille spent \( 2(97.25)-19.40 = 194.5 - 19.40 = 175.10 \).

Answer:

Olivia spent \$97.25, Camille spent \$175.10.