Tom, Ivan, Mark and Eric went shopping with a total of $815. After shopping, they had a total of $119 left. Ivan spent $30. The amount Mark spent was
47 the amount spent by Tom. The total amount spent by Tom and Ivan was $482 less than the total amount spent by Mark and Eric. How much did Tom and Eric spend altogether?
|
Tom |
Ivan |
Mark |
Eric |
Total |
Before |
|
|
|
|
$815 |
Change |
- 7 u |
- $30 |
- 4 u |
- ? |
- $696 |
After |
|
|
|
|
$119 |
Total amount that Tom, Ivan, Mark and Eric spent
= 815 - 119
= $696
Total amount that Tom and Ivan spent
= 7 u + 30
Total amount that Mark and Eric spent
= 7 u + 30 + 482
= 7 u + 512
Total amount that Tom, Ivan, Mark and Eric spent
= 7 u + 30 + 7 u + 512
= 14 u + 542
14 u + 542 = 696
14 u = 696 - 542
14 u = 154
1 u = 154 ÷ 14 = 11
Total amount that Ivan and Mark spent
= 4 u + 30
= 4 x 11 + 30
= 44 + 30
= $74
Total amount that Tom and Eric spent
= 696 - 74
= $622
Answer(s): $622