Ethan, Xavier, Perry and Riordan went shopping with a total of $675. After shopping, they had a total of $128 left. Xavier spent $20. The amount Perry spent was
38 the amount spent by Ethan. The total amount spent by Ethan and Xavier was $283 less than the total amount spent by Perry and Riordan. How much did Ethan and Riordan spend altogether?
|
Ethan |
Xavier |
Perry |
Riordan |
Total |
Before |
|
|
|
|
$675 |
Change |
- 8 u |
- $20 |
- 3 u |
- ? |
- $547 |
After |
|
|
|
|
$128 |
Total amount that Ethan, Xavier, Perry and Riordan spent
= 675 - 128
= $547
Total amount that Ethan and Xavier spent
= 8 u + 20
Total amount that Perry and Riordan spent
= 8 u + 20 + 283
= 8 u + 303
Total amount that Ethan, Xavier, Perry and Riordan spent
= 8 u + 20 + 8 u + 303
= 16 u + 323
16 u + 323 = 547
16 u = 547 - 323
16 u = 224
1 u = 224 ÷ 16 = 14
Total amount that Xavier and Perry spent
= 3 u + 20
= 3 x 14 + 20
= 42 + 20
= $62
Total amount that Ethan and Riordan spent
= 547 - 62
= $485
Answer(s): $485