Peter & Sam won some money in a competition. Peter won 5 times as much money as Sam. Sam won $4200 less than Peter.

a. What was the ration of the amount of money Peter won to the amount of money Sam won to the total amount of money both boys won?
b. What fraction of the total amount of money both boys won did Peter win?
c. What fraction of the total amount of money both boys won did Sam won?
d. How much money did each person win?

2 answers

P = 5 S
P = S + 4200
-------------
Now use algebra
4S = 4200
S = 1050
P = 5250

a. P:S:(P+S) = 525:105:630 = 5:1:6
b. P/(P+S) = 525/630 = 5/6
c. S/(P+S) = 1/6
d. Already answered above.
LOLZ CAT