Hilda, Mary, Emily and Anna went to buy a souvenir for their auntie. They shared the cost equally among themselves. However, Anna forgot to bring her money. So, the other 3 girls paid for the souvenir first. Emily paid
35 of the amount Hilda and Mary paid. Mary paid $4 more than Hilda. The next day, Anna returned $12 to Emily and some money to Hilda and Mary. How much did Anna return to
- Hilda?
- Mary?
|
Hilda |
Mary |
Emily |
Anna |
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 Anna first |
- ? |
- ? |
- 12
|
+ 12 + ? |
|
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 Emily paid
= 3 u - 2 u
= 1 u
1 u = 12
Total amount that Hilda and Mary paid at first
= 5 u
= 5 x 12
= $60
1 p + 1 p + 4 = 60
2 p = 60 - 4
2 p = 56
1 p = 56 ÷ 2 = 28
Amount that Anna needed to pay Hilda
= 1 p - 2 u
= 28 - 2 x 12
= 28 - 24
= $4
(b)
Amount that Anna needed to pay Mary
= (1 p + 4) - 2 u
= (28 + 4) - 2 x 12
= 32 - 24
= $8
Answer(s): (a) $4; (b) $8