Simon, Caden, Tim and Fabian went shopping with a total of $589. After shopping, they had a total of $140 left. Caden spent $80. The amount Tim spent was
38 the amount spent by Simon. The total amount spent by Simon and Caden was $-15 less than the total amount spent by Tim and Fabian. How much did Simon and Fabian spend altogether?
|
Simon |
Caden |
Tim |
Fabian |
Total |
Before |
|
|
|
|
$589 |
Change |
- 8 u |
- $80 |
- 3 u |
- ? |
- $449 |
After |
|
|
|
|
$140 |
Total amount that Simon, Caden, Tim and Fabian spent
= 589 - 140
= $449
Total amount that Simon and Caden spent
= 8 u + 80
Total amount that Tim and Fabian spent
= 8 u + 80 + -15
= 8 u + 65
Total amount that Simon, Caden, Tim and Fabian spent
= 8 u + 80 + 8 u + 65
= 16 u + 145
16 u + 145 = 449
16 u = 449 - 145
16 u = 304
1 u = 304 ÷ 16 = 19
Total amount that Caden and Tim spent
= 3 u + 80
= 3 x 19 + 80
= 57 + 80
= $137
Total amount that Simon and Fabian spent
= 449 - 137
= $312
Answer(s): $312