Xavier, Howard, Ryan and Billy paid a total of $135 for a souvenir. Billy paid
45 of what the rest paid. Xavier paid 25% of what the rest paid. Howard and Ryan paid an equal amount of money. How much did Ryan pay?
Xavier |
Howard |
Ryan |
Billy |
Total |
5x5 |
4x5 |
9x5 |
1x9 |
4x9 |
5x9 |
|
1 |
1 |
|
|
9 u |
8 u |
8 u |
20 u |
45 u |
25%=
25100=
14 Xavier's share : Total share = 1 : 4
The total amount paid for the souvenir is repeated. Make the total amount the same. LCM of 9 and 5 is 45.
Amount that Howard, Ryan and Billy paid = 36 u
Amount that Howard and Ryan paid
= 36 u - 20 u
= 16 u
The amount that Howard and Ryan each paid is the same.
Amount that Howard and Ryan each paid
= 16 u ÷ 2
= 8 u
Cost of the souvenir = 45 u
45 u = 135
1 u = 135 ÷ 45 = 3
Amount that Ryan paid
= 8 u
= 8 x 3
= $24
Answer(s): $24