Tom, Oliver, Glen and Ethan went shopping with a total of $600. After shopping, they had a total of $33 left. Oliver spent $50. The amount Glen spent was
57 the amount spent by Tom. The total amount spent by Tom and Oliver was $215 less than the total amount spent by Glen and Ethan. How much did Tom and Ethan spend altogether?
|
Tom |
Oliver |
Glen |
Ethan |
Total |
Before |
|
|
|
|
$600 |
Change |
- 7 u |
- $50 |
- 5 u |
- ? |
- $567 |
After |
|
|
|
|
$33 |
Total amount that Tom, Oliver, Glen and Ethan spent
= 600 - 33
= $567
Total amount that Tom and Oliver spent
= 7 u + 50
Total amount that Glen and Ethan spent
= 7 u + 50 + 215
= 7 u + 265
Total amount that Tom, Oliver, Glen and Ethan spent
= 7 u + 50 + 7 u + 265
= 14 u + 315
14 u + 315 = 567
14 u = 567 - 315
14 u = 252
1 u = 252 ÷ 14 = 18
Total amount that Oliver and Glen spent
= 5 u + 50
= 5 x 18 + 50
= 90 + 50
= $140
Total amount that Tom and Ethan spent
= 567 - 140
= $427
Answer(s): $427