Owen, Bobby, Valen and Tom paid a total of $45 for a souvenir. Tom paid
23 of what the rest paid. Owen paid 50% of what the rest paid. Bobby and Valen paid an equal amount of money. How much did Valen pay?
Owen |
Bobby |
Valen |
Tom |
Total |
3x3 |
2x3 |
5x3 |
1x5 |
2x5 |
3x5 |
|
1 |
1 |
|
|
5 u |
2 u |
2 u |
6 u |
15 u |
50%=
50100=
12 Owen's share : Total share = 1 : 2
The total amount paid for the souvenir is repeated. Make the total amount the same. LCM of 5 and 3 is 15.
Amount that Bobby, Valen and Tom paid = 10 u
Amount that Bobby and Valen paid
= 10 u - 6 u
= 4 u
The amount that Bobby and Valen each paid is the same.
Amount that Bobby and Valen each paid
= 4 u ÷ 2
= 2 u
Cost of the souvenir = 15 u
15 u = 45
1 u = 45 ÷ 15 = 3
Amount that Valen paid
= 2 u
= 2 x 3
= $6
Answer(s): $6