Carl, Henry, Japheth and Eric went shopping with a total of $509. After shopping, they had a total of $59 left. Henry spent $70. The amount Japheth spent was
47 the amount spent by Carl. The total amount spent by Carl and Henry was $-68 less than the total amount spent by Japheth and Eric. How much did Carl and Eric spend altogether?
|
Carl |
Henry |
Japheth |
Eric |
Total |
Before |
|
|
|
|
$509 |
Change |
- 7 u |
- $70 |
- 4 u |
- ? |
- $450 |
After |
|
|
|
|
$59 |
Total amount that Carl, Henry, Japheth and Eric spent
= 509 - 59
= $450
Total amount that Carl and Henry spent
= 7 u + 70
Total amount that Japheth and Eric spent
= 7 u + 70 + -68
= 7 u + 2
Total amount that Carl, Henry, Japheth and Eric spent
= 7 u + 70 + 7 u + 2
= 14 u + 72
14 u + 72 = 450
14 u = 450 - 72
14 u = 378
1 u = 378 ÷ 14 = 27
Total amount that Henry and Japheth spent
= 4 u + 70
= 4 x 27 + 70
= 108 + 70
= $178
Total amount that Carl and Eric spent
= 450 - 178
= $272
Answer(s): $272