Bryan, Ethan, Ian and Fred paid a total of $210 for a souvenir. Fred paid
14 of what the rest paid. Bryan paid 40% of what the rest paid. Ethan and Ian paid an equal amount of money. How much did Ian pay?
| Bryan |
Ethan |
Ian |
Fred |
Total |
| 4x7 |
1x7 |
5x7 |
| 2x5 |
5x5 |
7x5 |
| |
1 |
1 |
|
|
| 10 u |
9 u |
9 u |
7 u |
35 u |
40%=
40100=
25 Bryan's share : Total share = 2 : 5
The total amount paid for the souvenir is repeated. Make the total amount the same. LCM of 5 and 7 is 35.
Amount that Ethan, Ian and Fred paid = 25 u
Amount that Ethan and Ian paid
= 25 u - 7 u
= 18 u
The amount that Ethan and Ian each paid is the same.
Amount that Ethan and Ian each paid
= 18 u ÷ 2
= 9 u
Cost of the souvenir = 35 u
35 u = 210
1 u = 210 ÷ 35 = 6
Amount that Ian paid
= 9 u
= 9 x 6
= $54
Answer(s): $54
