Vaidev, Fred, Billy and Oliver bought a notebook for their aunt. Vaidev paid
13 of what the rest paid. Fred paid
15 of what the rest paid. Billy paid
16 of what the rest paid. Oliver paid $112 more than Vaidev. How much did the notebook cost?
| Vaidev |
Fred |
Billy |
Oliver |
Total |
| 1x21 |
|
|
|
4x21 |
| |
1x14 |
|
|
6x14 |
| |
|
1x12 |
|
7x12 |
| 21 u |
14 u |
12 u |
37 u |
84 u |
The cost of the notebook is repeated. Make the cost of the notebook the same. LCM of 4, 6 and 7 is 84.
Amount that Oliver had
= 84 u - (21 u + 14 u + 12 u)
= 37 u
Amount that Oliver paid more than Vaidev
= 37 u - 21 u
= 16 u
16 u = 112
1 u = 112 ÷ 16 = 7
Cost of the notebook
= 84 u
= 84 x 7
= $588
Answer(s): $588
