Justin, Valen, Cole and Paul went shopping with a total of $829. After shopping, they had a total of $85 left. Valen spent $30. The amount Cole spent was
56 the amount spent by Justin. The total amount spent by Justin and Valen was $396 less than the total amount spent by Cole and Paul. How much did Justin and Paul spend altogether?
|
Justin |
Valen |
Cole |
Paul |
Total |
Before |
|
|
|
|
$829 |
Change |
- 6 u |
- $30 |
- 5 u |
- ? |
- $744 |
After |
|
|
|
|
$85 |
Total amount that Justin, Valen, Cole and Paul spent
= 829 - 85
= $744
Total amount that Justin and Valen spent
= 6 u + 30
Total amount that Cole and Paul spent
= 6 u + 30 + 396
= 6 u + 426
Total amount that Justin, Valen, Cole and Paul spent
= 6 u + 30 + 6 u + 426
= 12 u + 456
12 u + 456 = 744
12 u = 744 - 456
12 u = 288
1 u = 288 ÷ 12 = 24
Total amount that Valen and Cole spent
= 5 u + 30
= 5 x 24 + 30
= 120 + 30
= $150
Total amount that Justin and Paul spent
= 744 - 150
= $594
Answer(s): $594