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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.

 Jan 11, 2022
 #1
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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

 Jan 13, 2022

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