Eric, Wesley, Pierre and Michael went shopping with a total of $962. After shopping, they had a total of $182 left. Wesley spent $90. The amount Pierre spent was
34 the amount spent by Eric. The total amount spent by Eric and Wesley was $520 less than the total amount spent by Pierre and Michael. How much did Eric and Michael spend altogether?
|
Eric |
Wesley |
Pierre |
Michael |
Total |
Before |
|
|
|
|
$962 |
Change |
- 4 u |
- $90 |
- 3 u |
- ? |
- $780 |
After |
|
|
|
|
$182 |
Total amount that Eric, Wesley, Pierre and Michael spent
= 962 - 182
= $780
Total amount that Eric and Wesley spent
= 4 u + 90
Total amount that Pierre and Michael spent
= 4 u + 90 + 520
= 4 u + 610
Total amount that Eric, Wesley, Pierre and Michael spent
= 4 u + 90 + 4 u + 610
= 8 u + 700
8 u + 700 = 780
8 u = 780 - 700
8 u = 80
1 u = 80 ÷ 8 = 10
Total amount that Wesley and Pierre spent
= 3 u + 90
= 3 x 10 + 90
= 30 + 90
= $120
Total amount that Eric and Michael spent
= 780 - 120
= $660
Answer(s): $660