Ben, Japheth, Sam and Owen went shopping with a total of $552. After shopping, they had a total of $26 left. Japheth spent $80. The amount Sam spent was
34 the amount spent by Ben. The total amount spent by Ben and Japheth was $270 less than the total amount spent by Sam and Owen. How much did Ben and Owen spend altogether?
|
Ben |
Japheth |
Sam |
Owen |
Total |
Before |
|
|
|
|
$552 |
Change |
- 4 u |
- $80 |
- 3 u |
- ? |
- $526 |
After |
|
|
|
|
$26 |
Total amount that Ben, Japheth, Sam and Owen spent
= 552 - 26
= $526
Total amount that Ben and Japheth spent
= 4 u + 80
Total amount that Sam and Owen spent
= 4 u + 80 + 270
= 4 u + 350
Total amount that Ben, Japheth, Sam and Owen spent
= 4 u + 80 + 4 u + 350
= 8 u + 430
8 u + 430 = 526
8 u = 526 - 430
8 u = 96
1 u = 96 ÷ 8 = 12
Total amount that Japheth and Sam spent
= 3 u + 80
= 3 x 12 + 80
= 36 + 80
= $116
Total amount that Ben and Owen spent
= 526 - 116
= $410
Answer(s): $410