Question

Olivia and Camille wen't clothes shopping. Camille spent $19.40 less than twice what Olivia spent. In total, they spent $272.35. Find the amount each girl spent.

Answer 1

Olivia spent $97.25 and Camille spent $175.1

Step-by-step explanation:

Let's call x, the amount of money that Olivia spent and y the amount of money that Camille spent.

So, if Camille spent $19.40 less than twice what Olivia spent, then we can write the following equation:

y = 2x - 19.4

And, if in total, they spent $272.35, we can write the following equation:

x + y = 272.35

Then, we can replace the first equation on the second and solve for x as:

`\begin{gathered} x+y=272.35 \\ x+(2x-19.4)=272.35 \\ x+2x-19.4=272.35 \\ 3x-19.4=272.35 \\ 3x=272.35+19.4 \\ 3x=291.75 \\ x=(291.75)/(3) \\ x=97.25 \end{gathered}`

So, the value of y is equal to:

`\begin{gathered} y=2x-19.4 \\ y=2\cdot97.25-19.4 \\ y=194.5-19.4 \\ y=175.1 \end{gathered}`

Therefore, Olivia spent $97.25 and Camille spent $175.1