Question

a garden club collected donations for a new city park. the circle graph shows shows the distribution of donations collected from 5 members of the club. if the combined amount of donations collected by karen, fran, and brooke exceeded the amount laura collected by $200, what was the total amount of donations collected by all five club members?
$500
$1,200
$2,500
$3,200

Explanation:

Step1: Calculate the percentage of Karen, Fran, and Brooks

Assume the total donation is \(100\%\). Fran and Brooks each contribute \(15\%\). Let Karen's percentage be \(x\). The sum of Karen, Fran, and Brooks' percentages is \(x + 15\%+15\%=x + 30\%\). Laura's percentage is \(40\%\) (since \(100-(15 + 15+10 + 20)=40\), assuming the remaining parts of the pie - chart).
We know that \((x + 30\%)-40\%=10\%\) (because the combined amount of Karen, Fran, and Brooks exceeded Laura's amount by a certain percentage. Let the total donation be \(T\)). The amount by which Karen, Fran, and Brooks exceeded Laura is \(0.1T\) (if we assume the percentage difference of \(10\%\) of the total donation \(T\)). And we are given that this amount is \(\$250\).

Step2: Solve for the total donation \(T\)

If \(0.1T = 250\), then \(T=\frac{250}{0.1}=2500\)

Answer:

\(\$2500\) (Option C)