Wendy, Natalie, Xylia and Tiffany went to buy a souvenir for their father. They shared the cost equally among themselves. However, Tiffany forgot to bring her money. So, the other 3 girls paid for the souvenir first. Xylia paid
35 of the amount Wendy and Natalie paid. Natalie paid $7 more than Wendy. The next day, Tiffany returned $11 to Xylia and some money to Wendy and Natalie. How much did Tiffany return to
- Wendy?
- Natalie?
|
Wendy |
Natalie |
Xylia |
Tiffany |
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 + 7
|
|
|
|
Amounts that each girl paid for Tiffany first |
- ? |
- ? |
- 11
|
+ 11 + ? |
|
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 Xylia paid
= 3 u - 2 u
= 1 u
1 u = 11
Total amount that Wendy and Natalie paid at first
= 5 u
= 5 x 11
= $55
1 p + 1 p + 7 = 55
2 p = 55 - 7
2 p = 48
1 p = 48 ÷ 2 = 24
Amount that Tiffany needed to pay Wendy
= 1 p - 2 u
= 24 - 2 x 11
= 24 - 22
= $2
(b)
Amount that Tiffany needed to pay Natalie
= (1 p + 7) - 2 u
= (24 + 7) - 2 x 11
= 31 - 22
= $9
Answer(s): (a) $2; (b) $9