Tim, Jeremy, David and Ivan paid a total of $156 for a present. Ivan paid
67 of what the rest paid. Tim paid 50% of what the rest paid. Jeremy and David paid an equal amount of money. How much did David pay?
| Tim |
Jeremy |
David |
Ivan |
Total |
| 7x3 |
6x3 |
13x3 |
| 1x13 |
2x13 |
3x13 |
| |
1 |
1 |
|
|
| 13 u |
4 u |
4 u |
18 u |
39 u |
50%=
50100=
12 Tim's share : Total share = 1 : 2
The total amount paid for the present is repeated. Make the total amount the same. LCM of 13 and 3 is 39.
Amount that Jeremy, David and Ivan paid = 26 u
Amount that Jeremy and David paid
= 26 u - 18 u
= 8 u
The amount that Jeremy and David each paid is the same.
Amount that Jeremy and David each paid
= 8 u ÷ 2
= 4 u
Cost of the present = 39 u
39 u = 156
1 u = 156 ÷ 39 = 4
Amount that David paid
= 4 u
= 4 x 4
= $16
Answer(s): $16
