Ryan, Justin, Ethan and Gabriel bought a notebook for their aunt. Ryan paid
13 of what the rest paid. Justin paid
14 of what the rest paid. Ethan paid
15 of what the rest paid. Gabriel paid $16 more than Ryan. How much did the notebook cost?
| Ryan |
Justin |
Ethan |
Gabriel |
Total |
| 1x15 |
|
|
|
4x15 |
| |
1x12 |
|
|
5x12 |
| |
|
1x10 |
|
6x10 |
| 15 u |
12 u |
10 u |
23 u |
60 u |
The cost of the notebook is repeated. Make the cost of the notebook the same. LCM of 4, 5 and 6 is 60.
Amount that Gabriel had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Gabriel paid more than Ryan
= 23 u - 15 u
= 8 u
8 u = 16
1 u = 16 ÷ 8 = 2
Cost of the notebook
= 60 u
= 60 x 2
= $120
Answer(s): $120
