Question

olivia and camille went clothes shopping. camille spent $19.40 less than twice what olivia spent. 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 $2(97.25) - 19.40 = 194.5 - 19.40 = 175.1$.

Answer:

Olivia spent $\$97.25$, Camille spent $\$175.1$.