Archie, Mark, Xavier and Japheth paid a total of $120 for a gift. Japheth paid
23 of what the rest paid. Archie paid 50% of what the rest paid. Mark and Xavier paid an equal amount of money. How much did Xavier pay?
| Archie |
Mark |
Xavier |
Japheth |
Total |
| 3x3 |
2x3 |
5x3 |
| 1x5 |
2x5 |
3x5 |
| |
1 |
1 |
|
|
| 5 u |
2 u |
2 u |
6 u |
15 u |
50%=
50100=
12 Archie'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 Mark, Xavier and Japheth paid = 10 u
Amount that Mark and Xavier paid
= 10 u - 6 u
= 4 u
The amount that Mark and Xavier each paid is the same.
Amount that Mark and Xavier each paid
= 4 u ÷ 2
= 2 u
Cost of the gift = 15 u
15 u = 120
1 u = 120 ÷ 15 = 8
Amount that Xavier paid
= 2 u
= 2 x 8
= $16
Answer(s): $16
