Michael, Glen, Howard and Valen went shopping with a total of $915. After shopping, they had a total of $197 left. Glen spent $10. The amount Howard spent was
23 the amount spent by Michael. The total amount spent by Michael and Glen was $536 less than the total amount spent by Howard and Valen. How much did Michael and Valen spend altogether?
|
Michael |
Glen |
Howard |
Valen |
Total |
Before |
|
|
|
|
$915 |
Change |
- 3 u |
- $10 |
- 2 u |
- ? |
- $718 |
After |
|
|
|
|
$197 |
Total amount that Michael, Glen, Howard and Valen spent
= 915 - 197
= $718
Total amount that Michael and Glen spent
= 3 u + 10
Total amount that Howard and Valen spent
= 3 u + 10 + 536
= 3 u + 546
Total amount that Michael, Glen, Howard and Valen spent
= 3 u + 10 + 3 u + 546
= 6 u + 556
6 u + 556 = 718
6 u = 718 - 556
6 u = 162
1 u = 162 ÷ 6 = 27
Total amount that Glen and Howard spent
= 2 u + 10
= 2 x 27 + 10
= 54 + 10
= $64
Total amount that Michael and Valen spent
= 718 - 64
= $654
Answer(s): $654