Seth, Neave, Harry and Daniel bought a dishwasher for their aunt. Seth paid
13 of what the rest paid. Neave paid
14 of what the rest paid. Harry paid
15 of what the rest paid. Daniel paid $40 more than Seth. How much did the dishwasher cost?
| Seth |
Neave |
Harry |
Daniel |
Total |
| 1x15 |
|
|
|
4x15 |
| |
1x12 |
|
|
5x12 |
| |
|
1x10 |
|
6x10 |
| 15 u |
12 u |
10 u |
23 u |
60 u |
The cost of the dishwasher is repeated. Make the cost of the dishwasher the same. LCM of 4, 5 and 6 is 60.
Amount that Daniel had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Daniel paid more than Seth
= 23 u - 15 u
= 8 u
8 u = 40
1 u = 40 ÷ 8 = 5
Cost of the dishwasher
= 60 u
= 60 x 5
= $300
Answer(s): $300
