Glen, John, Fred and Tom paid a total of $75 for a souvenir. Tom paid
23 of what the rest paid. Glen paid 50% of what the rest paid. John and Fred paid an equal amount of money. How much did Fred pay?
| Glen |
John |
Fred |
Tom |
Total |
| 3x3 |
2x3 |
5x3 |
| 1x5 |
2x5 |
3x5 |
| |
1 |
1 |
|
|
| 5 u |
2 u |
2 u |
6 u |
15 u |
50%=
50100=
12 Glen'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 John, Fred and Tom paid = 10 u
Amount that John and Fred paid
= 10 u - 6 u
= 4 u
The amount that John and Fred each paid is the same.
Amount that John and Fred each paid
= 4 u ÷ 2
= 2 u
Cost of the souvenir = 15 u
15 u = 75
1 u = 75 ÷ 15 = 5
Amount that Fred paid
= 2 u
= 2 x 5
= $10
Answer(s): $10
