Ryan, Steven and Tim shared a sum of money. Ryan received 2/5 of the
amount received by Steven and Tim. Ryan and Steven received 1/2 of the
amount received by Tim. Tim received $80 more than Ryan. Find the total sum
of money shared by the three boys.
+237 Ryan = R
Steven = S
Tim = T
R = 2/5 (S + T)
1/2T = R + S
T = 80 + R
R = 2/5 (S + 80 + R
5R = 2S + 160 + 2R
3R = 2S + 160
(80 + R)/2 = R + S
80 + R = 2R + 2S
R + 2S = 80
3R - 2S = 160
+R + 2S = 80
-------------------
4R = 240
R = 240/4
R = 60
T = 80 + 60
T = 140
1/2T = R + S
1/2 (140) = 60 + S
S = 70 - 60
S = 10
Sum = 140 + 10 + 60
Sum = 210
