Zane, Luke, Ken and Pierre bought a computer for their aunt. Zane paid
13 of what the rest paid. Luke paid
15 of what the rest paid. Ken paid
16 of what the rest paid. Pierre paid $48 more than Zane. How much did the computer cost?
Zane |
Luke |
Ken |
Pierre |
Total |
1x21 |
|
|
|
4x21 |
|
1x14 |
|
|
6x14 |
|
|
1x12 |
|
7x12 |
21 u |
14 u |
12 u |
37 u |
84 u |
The cost of the computer is repeated. Make the cost of the computer the same. LCM of 4, 6 and 7 is 84.
Amount that Pierre had
= 84 u - (21 u + 14 u + 12 u)
= 37 u
Amount that Pierre paid more than Zane
= 37 u - 21 u
= 16 u
16 u = 48
1 u = 48 ÷ 16 = 3
Cost of the computer
= 84 u
= 84 x 3
= $252
Answer(s): $252