Fabian, Howard, Elijah and Pierre bought a television for their aunt. Fabian paid
13 of what the rest paid. Howard paid
15 of what the rest paid. Elijah paid
17 of what the rest paid. Pierre paid $45 more than Fabian. How much did the television cost?
Fabian |
Howard |
Elijah |
Pierre |
Total |
1x6 |
|
|
|
4x6 |
|
1x4 |
|
|
6x4 |
|
|
1x3 |
|
8x3 |
6 u |
4 u |
3 u |
11 u |
24 u |
The cost of the television is repeated. Make the cost of the television the same. LCM of 4, 6 and 8 is 24.
Amount that Pierre had
= 24 u - (6 u + 4 u + 3 u)
= 11 u
Amount that Pierre paid more than Fabian
= 11 u - 6 u
= 5 u
5 u = 45
1 u = 45 ÷ 5 = 9
Cost of the television
= 24 u
= 24 x 9
= $216
Answer(s): $216