Tom, Xavier, Ben and Archie paid a total of $350 for a present. Archie paid
25 of what the rest paid. Tom paid 25% of what the rest paid. Xavier and Ben paid an equal amount of money. How much did Ben pay?
| Tom |
Xavier |
Ben |
Archie |
Total |
| 5x5 |
2x5 |
7x5 |
| 1x7 |
4x7 |
5x7 |
| |
1 |
1 |
|
|
| 7 u |
9 u |
9 u |
10 u |
35 u |
25%=
25100=
14 Tom's share : Total share = 1 : 4
The total amount paid for the present is repeated. Make the total amount the same. LCM of 7 and 5 is 35.
Amount that Xavier, Ben and Archie paid = 28 u
Amount that Xavier and Ben paid
= 28 u - 10 u
= 18 u
The amount that Xavier and Ben each paid is the same.
Amount that Xavier and Ben each paid
= 18 u ÷ 2
= 9 u
Cost of the present = 35 u
35 u = 350
1 u = 350 ÷ 35 = 10
Amount that Ben paid
= 9 u
= 9 x 10
= $90
Answer(s): $90
