Jeremy, Glen, Wesley and Archie went shopping with a total of $738. After shopping, they had a total of $25 left. Glen spent $100. The amount Wesley spent was
38 the amount spent by Jeremy. The total amount spent by Jeremy and Glen was $81 less than the total amount spent by Wesley and Archie. How much did Jeremy and Archie spend altogether?
| |
Jeremy |
Glen |
Wesley |
Archie |
Total |
| Before |
|
|
|
|
$738 |
| Change |
- 8 u |
- $100 |
- 3 u |
- ? |
- $713 |
| After |
|
|
|
|
$25 |
Total amount that Jeremy, Glen, Wesley and Archie spent
= 738 - 25
= $713
Total amount that Jeremy and Glen spent
= 8 u + 100
Total amount that Wesley and Archie spent
= 8 u + 100 + 81
= 8 u + 181
Total amount that Jeremy, Glen, Wesley and Archie spent
= 8 u + 100 + 8 u + 181
= 16 u + 281
16 u + 281 = 713
16 u = 713 - 281
16 u = 432
1 u = 432 ÷ 16 = 27
Total amount that Glen and Wesley spent
= 3 u + 100
= 3 x 27 + 100
= 81 + 100
= $181
Total amount that Jeremy and Archie spent
= 713 - 181
= $532
Answer(s): $532
