Oliver Nelson
How much does each one had?
Marty, Nelson & Oliver liked a $510-wristwatch. If Nelson & Oliver lend Marty 1/2 of what they had Marty with his money had exactly the amount to buy the watch. If Marty & Oliver lend Nelson 1/3 of what they had Nelson with his money had exactly the amount to buy the watch. If Marty & Nelson lend Oliver 1/4 of what they had Oliver with his money had exactly the amount to buy the watch. How much does each one had?
Oliver’s money—z:
x + 1/2(y + z) = $510
2x + y + z = $1,020
z = $1,020 – 2x – y
Nelson’s money—y:
y + 1/3(x + $1,020 – 2x – y) = $510
y + 1/3($1,020 – x – y) = $510
y + $340 – 1/3x – 1/3y = $510
2/3y = $170 + 1/3x
y = $255 + 1/2x
z = $1,020 – 2x – ($255 + 1/2x)
z = $1,020 – 2x – $255 – 1/2x
z = $765 – 2.5x
Marty’s money—x:
$765 – 2.5x + 1/4(x + $255 + 1/2x) = $510
2.5x – 1/4(1.5x + $255) = $255
2.5x – 0.375x – $63.75 = $255
2.125x = $318.75
x = $150
Nelson’s money:
= $255 + 1/2($150)
= $255 + $75
= $330
Oliver’s money:
= $765 – 2.5($150)
= $765 – $375
= $390
Answer: Marty, $150; Nelson, $330; Oliver, $390
Oliver Nelson – Stolen Moments
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