Yoko, Eva, Raeann and Fanny went to buy a gift for their cousin. They shared the cost equally among themselves. However, Fanny forgot to bring her money. So, the other 3 girls paid for the gift first. Raeann paid
35 of the amount Yoko and Eva paid. Eva paid $4 more than Yoko. The next day, Fanny returned $20 to Raeann and some money to Yoko and Eva. How much did Fanny return to
- Yoko?
- Eva?
|
Yoko |
Eva |
Raeann |
Fanny |
Total |
Comparing the amounts 3 girls paid first |
5 u
|
3 u
|
|
8 u
|
Comparing the amounts 2 girls paid first |
1 p
|
1 p + 4
|
|
|
|
Amounts that each girl paid for Fanny first |
- ? |
- ? |
- 20
|
+ 20 + ? |
|
Comparing the amounts each girl should pay |
1x2 = 2 u |
1x2 = 2 u |
1x2 = 2 u |
1x2 = 2 u |
4x2 = 8 u |
(a)
The total amount that the 4 girls paid is repeated. Make the total amount the same. LCM of 4 and 8 is 8.
Extra amount that Raeann paid
= 3 u - 2 u
= 1 u
1 u = 20
Total amount that Yoko and Eva paid at first
= 5 u
= 5 x 20
= $100
1 p + 1 p + 4 = 100
2 p = 100 - 4
2 p = 96
1 p = 96 ÷ 2 = 48
Amount that Fanny needed to pay Yoko
= 1 p - 2 u
= 48 - 2 x 20
= 48 - 40
= $8
(b)
Amount that Fanny needed to pay Eva
= (1 p + 4) - 2 u
= (48 + 4) - 2 x 20
= 52 - 40
= $12
Answer(s): (a) $8; (b) $12