Carl, Oliver, Riordan and Peter went shopping with a total of $593. After shopping, they had a total of $176 left. Oliver spent $80. The amount Riordan spent was
25 the amount spent by Carl. The total amount spent by Carl and Oliver was $27 less than the total amount spent by Riordan and Peter. How much did Carl and Peter spend altogether?
|
Carl |
Oliver |
Riordan |
Peter |
Total |
Before |
|
|
|
|
$593 |
Change |
- 5 u |
- $80 |
- 2 u |
- ? |
- $417 |
After |
|
|
|
|
$176 |
Total amount that Carl, Oliver, Riordan and Peter spent
= 593 - 176
= $417
Total amount that Carl and Oliver spent
= 5 u + 80
Total amount that Riordan and Peter spent
= 5 u + 80 + 27
= 5 u + 107
Total amount that Carl, Oliver, Riordan and Peter spent
= 5 u + 80 + 5 u + 107
= 10 u + 187
10 u + 187 = 417
10 u = 417 - 187
10 u = 230
1 u = 230 ÷ 10 = 23
Total amount that Oliver and Riordan spent
= 2 u + 80
= 2 x 23 + 80
= 46 + 80
= $126
Total amount that Carl and Peter spent
= 417 - 126
= $291
Answer(s): $291