Henry, Ivan, Eric and Michael went shopping with a total of $767. After shopping, they had a total of $64 left. Ivan spent $80. The amount Eric spent was
27 the amount spent by Henry. The total amount spent by Henry and Ivan was $137 less than the total amount spent by Eric and Michael. How much did Henry and Michael spend altogether?
|
Henry |
Ivan |
Eric |
Michael |
Total |
Before |
|
|
|
|
$767 |
Change |
- 7 u |
- $80 |
- 2 u |
- ? |
- $703 |
After |
|
|
|
|
$64 |
Total amount that Henry, Ivan, Eric and Michael spent
= 767 - 64
= $703
Total amount that Henry and Ivan spent
= 7 u + 80
Total amount that Eric and Michael spent
= 7 u + 80 + 137
= 7 u + 217
Total amount that Henry, Ivan, Eric and Michael spent
= 7 u + 80 + 7 u + 217
= 14 u + 297
14 u + 297 = 703
14 u = 703 - 297
14 u = 406
1 u = 406 ÷ 14 = 29
Total amount that Ivan and Eric spent
= 2 u + 80
= 2 x 29 + 80
= 58 + 80
= $138
Total amount that Henry and Michael spent
= 703 - 138
= $565
Answer(s): $565