Peter, Cody, Sam and Henry went shopping with a total of $592. After shopping, they had a total of $190 left. Cody spent $40. The amount Sam spent was
58 the amount spent by Peter. The total amount spent by Peter and Cody was $114 less than the total amount spent by Sam and Henry. How much did Peter and Henry spend altogether?
|
Peter |
Cody |
Sam |
Henry |
Total |
Before |
|
|
|
|
$592 |
Change |
- 8 u |
- $40 |
- 5 u |
- ? |
- $402 |
After |
|
|
|
|
$190 |
Total amount that Peter, Cody, Sam and Henry spent
= 592 - 190
= $402
Total amount that Peter and Cody spent
= 8 u + 40
Total amount that Sam and Henry spent
= 8 u + 40 + 114
= 8 u + 154
Total amount that Peter, Cody, Sam and Henry spent
= 8 u + 40 + 8 u + 154
= 16 u + 194
16 u + 194 = 402
16 u = 402 - 194
16 u = 208
1 u = 208 ÷ 16 = 13
Total amount that Cody and Sam spent
= 5 u + 40
= 5 x 13 + 40
= 65 + 40
= $105
Total amount that Peter and Henry spent
= 402 - 105
= $297
Answer(s): $297