Albert and Chris have some savings in the ratio 5 : 3.
They spent $30 each from their savings and the new ratio of their savings is 2 : 1.
Find the amount of savings Chris has at the start. Answer $ ...

1. Represent the initial savings using the given ratio.

Let Albert's and Chris's initial savings be $5x$ and $3x$ respectively.

2. Form and solve an equation using the new ratio after spending \$30 each.

After spending $30 each, their savings are $5x-30$ and $3x-30$.

$\frac{5x-30}{3x-30}=\frac{2}{1}$

$5x-30=2(3x-30)$

$5x-30=6x-60$

$x=30$

3. Find Chris's initial savings.

Chris's initial savings $=3x$

$=3(30)=90$