A total of $125.00 is given. Fred gets 17% less than Jill who gets?

Let

B = amount Bill gets

B - .12B = amount Don gets

(B - .12B) + .33( B - .12B) = amount Jill gets

(B-.12B) + .33(B-.12B) - .17(B-B-.12B) + .33(B -.12B)

Bill will get B

Don will get B - .12B = .88B

Jill will get .88B + .33(.88B) = .88B + .2904B = 1.1704B

Fred will get 1.1704B - .17(1.1704B) = 1.1704B - 0.198968B = 0.971432B

==========

B + .88B + 1.1704B + .971432B = 125

4.021832B = 125

B = $ 31.08 ===> received by Bill

.88B = .088(31.08) = $ 27.35 ===> received by Don

1.1704B = 1.1704(31.08) = $ 36.38 ====> received by Jill

0.971432(31.08) = $30.19 ===> received by Fred

31.08 + 27.35 + 36.38 + 30.19 = 125

125 = 125

============

27.35 - 30.18 = - 3.73/31.08 = -12%

36.38 - 27.35 = 9.03/27.35 = 33%

30.19-36.38 = -6.19/36.38 = -17%

Call the cash of Fred is x, Jill is y, Don is z and Bill is t, we have:

y = x + 0.17x = 1.17x

z = y - 0.33y = 0.67y

t = z + 0.12z = 1.12z

x + y + z + t = 125

=> y = 1.17x

z = 0.67 x 1.17x = 0.7839x

t = 1.12 x 0.7839x = 0.877968x

x + 1.17x + 0.7839x + 0.877968x = 125

=> x = $32.62

y = $38.1654

z = $25.570818

t = $28.63931616

125 = F + J + D + B

F = J*.83

J = D*1.33

D= B*.88

F = J*.83 = D*1.33*.83=B*.88*1.33*.83

J = D*1.33 = B*.88*1.33

125 = F + J + D + B

125 = B*.88*1.33*.83 + B*.88*1.33 + B*.88 + B

125 = .971 *B + 1.17 * B + .88 * B + B

125 = 4.021 B

B = 125/4.021 = $31.08

J = B*.88*1.33 = $36.38

F = B*.88*1.33*.83= $30.19

D = B* .88 = $27.35

Bill gets $31.08, Jill gets $36.38, Fred gets $30.19, and Don gets $27.35.