Julian, Albert, Ian and Lee paid a total of $180 for a gift. Lee paid
23 of what the rest paid. Julian paid 50% of what the rest paid. Albert and Ian paid an equal amount of money. How much did Ian pay?
Julian |
Albert |
Ian |
Lee |
Total |
3x3 |
2x3 |
5x3 |
1x5 |
2x5 |
3x5 |
|
1 |
1 |
|
|
5 u |
2 u |
2 u |
6 u |
15 u |
50%=
50100=
12 Julian'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 Albert, Ian and Lee paid = 10 u
Amount that Albert and Ian paid
= 10 u - 6 u
= 4 u
The amount that Albert and Ian each paid is the same.
Amount that Albert and Ian each paid
= 4 u ÷ 2
= 2 u
Cost of the gift = 15 u
15 u = 180
1 u = 180 ÷ 15 = 12
Amount that Ian paid
= 2 u
= 2 x 12
= $24
Answer(s): $24