David, Archie, Paul and Ryan paid a total of $66 for a gift. Ryan paid
29 of what the rest paid. David paid 50% of what the rest paid. Archie and Paul paid an equal amount of money. How much did Paul pay?
| David |
Archie |
Paul |
Ryan |
Total |
| 9x3 |
2x3 |
11x3 |
| 1x11 |
2x11 |
3x11 |
| |
1 |
1 |
|
|
| 11 u |
8 u |
8 u |
6 u |
33 u |
50%=
50100=
12 David's share : Total share = 1 : 2
The total amount paid for the gift is repeated. Make the total amount the same. LCM of 11 and 3 is 33.
Amount that Archie, Paul and Ryan paid = 22 u
Amount that Archie and Paul paid
= 22 u - 6 u
= 16 u
The amount that Archie and Paul each paid is the same.
Amount that Archie and Paul each paid
= 16 u ÷ 2
= 8 u
Cost of the gift = 33 u
33 u = 66
1 u = 66 ÷ 33 = 2
Amount that Paul paid
= 8 u
= 8 x 2
= $16
Answer(s): $16
