Ryan, Glen, Fred and Jack paid a total of $78 for a souvenir. Jack paid
49 of what the rest paid. Ryan paid 50% of what the rest paid. Glen and Fred paid an equal amount of money. How much did Fred pay?
Ryan |
Glen |
Fred |
Jack |
Total |
9x3 |
4x3 |
13x3 |
1x13 |
2x13 |
3x13 |
|
1 |
1 |
|
|
13 u |
7 u |
7 u |
12 u |
39 u |
50%=
50100=
12 Ryan's share : Total share = 1 : 2
The total amount paid for the souvenir is repeated. Make the total amount the same. LCM of 13 and 3 is 39.
Amount that Glen, Fred and Jack paid = 26 u
Amount that Glen and Fred paid
= 26 u - 12 u
= 14 u
The amount that Glen and Fred each paid is the same.
Amount that Glen and Fred each paid
= 14 u ÷ 2
= 7 u
Cost of the souvenir = 39 u
39 u = 78
1 u = 78 ÷ 39 = 2
Amount that Fred paid
= 7 u
= 7 x 2
= $14
Answer(s): $14