136809.4=(4%*118)+(3%*13)+(2%*16)+(1*1.84%)+(1*1.8%)+(2*1.5%)

Question

total contribution for one year is $136,809.40, 118 people contributed 4%, 13  people contributed 3%, 16  people contrbuted 2%, 1 person contributed 1.84%, 1 person contributed 1.8% and 2 peopel contributed 1.5%. How much did each one contributed?

Answer 1

Assuming that each person's contribution was a percentage of a fixed amount x (for example, each person contributed a percentage from their salary, and all contributors were on the same salary) we can write the following equation (converting all percentages to decimal fractions):

118×0.04x+13×0.03x+16×0.02x+1×0.0184x+1×0.018x+2×0.015x=

4.72x+0.39x+0.32x+0.0184x+0.018x+0.03x=5.4964x=136,809.40.

Therefore x=24,890.73 approx.

Therefore 118 people each contributed 995.63, total contribution=117,484.24;

13 each contributed 746.72, total contribution=9,707.38;

16 each contributed 497.81, total contribution=7,965.03;

1 contributed 458;

1 contributed 448.03;

2 each contributed 373.36, total contribution=746.72.

Overall contribution=136,809.40.