Kimberly, Olivia, Jen and Wendy went to buy a souvenir for their father. They shared the cost equally among themselves. However, Wendy forgot to bring her money. So, the other 3 girls paid for the souvenir first. Jen paid
511 of the amount Kimberly and Olivia paid. Olivia paid $17 more than Kimberly. The next day, Wendy returned $13 to Jen and some money to Kimberly and Olivia. How much did Wendy return to
- Kimberly?
- Olivia?
|
Kimberly |
Olivia |
Jen |
Wendy |
Total |
Comparing the amounts 3 girls paid first |
11 u
|
5 u
|
|
16 u
|
Comparing the amounts 2 girls paid first |
1 p
|
1 p + 17
|
|
|
|
Amounts that each girl paid for Wendy first |
- ? |
- ? |
- 13
|
+ 13 + ? |
|
Comparing the amounts each girl should pay |
1x4 = 4 u |
1x4 = 4 u |
1x4 = 4 u |
1x4 = 4 u |
4x4 = 16 u |
(a)
The total amount that the 4 girls paid is repeated. Make the total amount the same. LCM of 4 and 16 is 16.
Extra amount that Jen paid
= 5 u - 4 u
= 1 u
1 u = 13
Total amount that Kimberly and Olivia paid at first
= 11 u
= 11 x 13
= $143
1 p + 1 p + 17 = 143
2 p = 143 - 17
2 p = 126
1 p = 126 ÷ 2 = 63
Amount that Wendy needed to pay Kimberly
= 1 p - 4 u
= 63 - 4 x 13
= 63 - 52
= $11
(b)
Amount that Wendy needed to pay Olivia
= (1 p + 17) - 4 u
= (63 + 17) - 4 x 13
= 80 - 52
= $28
Answer(s): (a) $11; (b) $28