Daniel, Ahmad, Ivan and Vaidev paid a total of $60 for a gift. Vaidev paid
23 of what the rest paid. Daniel paid 50% of what the rest paid. Ahmad and Ivan paid an equal amount of money. How much did Ivan pay?
| Daniel |
Ahmad |
Ivan |
Vaidev |
Total |
| 3x3 |
2x3 |
5x3 |
| 1x5 |
2x5 |
3x5 |
| |
1 |
1 |
|
|
| 5 u |
2 u |
2 u |
6 u |
15 u |
50%=
50100=
12 Daniel'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 Ahmad, Ivan and Vaidev paid = 10 u
Amount that Ahmad and Ivan paid
= 10 u - 6 u
= 4 u
The amount that Ahmad and Ivan each paid is the same.
Amount that Ahmad and Ivan each paid
= 4 u ÷ 2
= 2 u
Cost of the gift = 15 u
15 u = 60
1 u = 60 ÷ 15 = 4
Amount that Ivan paid
= 2 u
= 2 x 4
= $8
Answer(s): $8
