Mark, Glen, Sean and Ethan went shopping with a total of $977. After shopping, they had a total of $186 left. Glen spent $50. The amount Sean spent was
47 the amount spent by Mark. The total amount spent by Mark and Glen was $327 less than the total amount spent by Sean and Ethan. How much did Mark and Ethan spend altogether?
|
Mark |
Glen |
Sean |
Ethan |
Total |
Before |
|
|
|
|
$977 |
Change |
- 7 u |
- $50 |
- 4 u |
- ? |
- $791 |
After |
|
|
|
|
$186 |
Total amount that Mark, Glen, Sean and Ethan spent
= 977 - 186
= $791
Total amount that Mark and Glen spent
= 7 u + 50
Total amount that Sean and Ethan spent
= 7 u + 50 + 327
= 7 u + 377
Total amount that Mark, Glen, Sean and Ethan spent
= 7 u + 50 + 7 u + 377
= 14 u + 427
14 u + 427 = 791
14 u = 791 - 427
14 u = 364
1 u = 364 ÷ 14 = 26
Total amount that Glen and Sean spent
= 4 u + 50
= 4 x 26 + 50
= 104 + 50
= $154
Total amount that Mark and Ethan spent
= 791 - 154
= $637
Answer(s): $637