Dana, Tina, Roshel and Lynn went to buy a present for their father. They shared the cost equally among themselves. However, Lynn forgot to bring her money. So, the other 3 girls paid for the present first. Roshel paid
79 of the amount Dana and Tina paid. Tina paid $2 more than Dana. The next day, Lynn returned $30 to Roshel and some money to Dana and Tina. How much did Lynn return to
- Dana?
- Tina?
|
Dana |
Tina |
Roshel |
Lynn |
Total |
Comparing the amounts 3 girls paid first |
9 u
|
7 u
|
|
16 u
|
Comparing the amounts 2 girls paid first |
1 p
|
1 p + 2
|
|
|
|
Amounts that each girl paid for Lynn first |
- ? |
- ? |
- 30
|
+ 30 + ? |
|
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 Roshel paid
= 7 u - 4 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Total amount that Dana and Tina paid at first
= 9 u
= 9 x 10
= $90
1 p + 1 p + 2 = 90
2 p = 90 - 2
2 p = 88
1 p = 88 ÷ 2 = 44
Amount that Lynn needed to pay Dana
= 1 p - 4 u
= 44 - 4 x 10
= 44 - 40
= $4
(b)
Amount that Lynn needed to pay Tina
= (1 p + 2) - 4 u
= (44 + 2) - 4 x 10
= 46 - 40
= $6
Answer(s): (a) $4; (b) $6