Reggie, Japheth, Albert and Wesley bought a notebook for their aunt. Reggie paid
13 of what the rest paid. Japheth paid
15 of what the rest paid. Albert paid
17 of what the rest paid. Wesley paid $40 more than Reggie. How much did the notebook cost?
Reggie |
Japheth |
Albert |
Wesley |
Total |
1x6 |
|
|
|
4x6 |
|
1x4 |
|
|
6x4 |
|
|
1x3 |
|
8x3 |
6 u |
4 u |
3 u |
11 u |
24 u |
The cost of the notebook is repeated. Make the cost of the notebook the same. LCM of 4, 6 and 8 is 24.
Amount that Wesley had
= 24 u - (6 u + 4 u + 3 u)
= 11 u
Amount that Wesley paid more than Reggie
= 11 u - 6 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
Cost of the notebook
= 24 u
= 24 x 8
= $192
Answer(s): $192