Ethan, Daniel, Jack and Ivan paid a total of $150 for a gift. Ivan paid
23 of what the rest paid. Ethan paid 50% of what the rest paid. Daniel and Jack paid an equal amount of money. How much did Jack pay?
| Ethan |
Daniel |
Jack |
Ivan |
Total |
| 3x3 |
2x3 |
5x3 |
| 1x5 |
2x5 |
3x5 |
| |
1 |
1 |
|
|
| 5 u |
2 u |
2 u |
6 u |
15 u |
50%=
50100=
12 Ethan's share : Total share = 1 : 2
The total amount paid for the gift is repeated. Make the total amount the same. LCM of 5 and 3 is 15.
Amount that Daniel, Jack and Ivan paid = 10 u
Amount that Daniel and Jack paid
= 10 u - 6 u
= 4 u
The amount that Daniel and Jack each paid is the same.
Amount that Daniel and Jack each paid
= 4 u ÷ 2
= 2 u
Cost of the gift = 15 u
15 u = 150
1 u = 150 ÷ 15 = 10
Amount that Jack paid
= 2 u
= 2 x 10
= $20
Answer(s): $20
