Question

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chris puts one tenth of each paycheck into savings. her current paycheck is $200. she decides to also put into savings,
any amount she earns over $200. the expression below represents the percent of her paycheck that chris saves when she
makes x dollars more than her current paycheck.
\\( \frac { 100 ( x + 20 ) } { x + 200 } \\)
drag and drop the expressions into the boxes to identify their meaning.
original ratio of saved to total
money per paycheck
final ratio of saved to total
money per paycheck
final amount saved per paycheck
\\( x + 200 \\)
\\( \frac { x + 20 } { x + 200 } \\)
\\( \frac { 20 } { 200 } \\)
\\( \frac { 100 ( x + 20 ) } { x + 200 } \\)
\\( x + 20 \\)
100

Explanation:

Step1: Find original ratio

Original paycheck is $200$, savings is $\frac{1}{10}\times200 = 20$. Ratio is $\frac{20}{200}$.

Step2: Find final ratio

Final paycheck is $x + 200$, final savings is $x+20$. Ratio is $\frac{x + 20}{x + 200}$.

Step3: Find final amount saved

Final amount saved is $x + 20$.

Answer:

Original ratio of saved to total money per paycheck: $\frac{20}{200}$; Final ratio of saved to total money per paycheck: $\frac{x + 20}{x + 200}$; Final amount saved per paycheck: $x + 20$