Sean, Tom, Bryan and Elijah bought a television for their aunt. Sean paid
13 of what the rest paid. Tom paid
14 of what the rest paid. Bryan paid
16 of what the rest paid. Elijah paid $66 more than Sean. How much did the television cost?
Sean |
Tom |
Bryan |
Elijah |
Total |
1x35 |
|
|
|
4x35 |
|
1x28 |
|
|
5x28 |
|
|
1x20 |
|
7x20 |
35 u |
28 u |
20 u |
57 u |
140 u |
The cost of the television is repeated. Make the cost of the television the same. LCM of 4, 5 and 7 is 140.
Amount that Elijah had
= 140 u - (35 u + 28 u + 20 u)
= 57 u
Amount that Elijah paid more than Sean
= 57 u - 35 u
= 22 u
22 u = 66
1 u = 66 ÷ 22 = 3
Cost of the television
= 140 u
= 140 x 3
= $420
Answer(s): $420