Seth, Daniel, Sam and Simon went shopping with a total of $855. After shopping, they had a total of $137 left. Daniel spent $20. The amount Sam spent was
23 the amount spent by Seth. The total amount spent by Seth and Daniel was $576 less than the total amount spent by Sam and Simon. How much did Seth and Simon spend altogether?
|
Seth |
Daniel |
Sam |
Simon |
Total |
Before |
|
|
|
|
$855 |
Change |
- 3 u |
- $20 |
- 2 u |
- ? |
- $718 |
After |
|
|
|
|
$137 |
Total amount that Seth, Daniel, Sam and Simon spent
= 855 - 137
= $718
Total amount that Seth and Daniel spent
= 3 u + 20
Total amount that Sam and Simon spent
= 3 u + 20 + 576
= 3 u + 596
Total amount that Seth, Daniel, Sam and Simon spent
= 3 u + 20 + 3 u + 596
= 6 u + 616
6 u + 616 = 718
6 u = 718 - 616
6 u = 102
1 u = 102 ÷ 6 = 17
Total amount that Daniel and Sam spent
= 2 u + 20
= 2 x 17 + 20
= 34 + 20
= $54
Total amount that Seth and Simon spent
= 718 - 54
= $664
Answer(s): $664