Ken, Jenson, Nick and Brandon went shopping with a total of $755. After shopping, they had a total of $141 left. Jenson spent $80. The amount Nick spent was
34 the amount spent by Ken. The total amount spent by Ken and Jenson was $358 less than the total amount spent by Nick and Brandon. How much did Ken and Brandon spend altogether?
|
Ken |
Jenson |
Nick |
Brandon |
Total |
Before |
|
|
|
|
$755 |
Change |
- 4 u |
- $80 |
- 3 u |
- ? |
- $614 |
After |
|
|
|
|
$141 |
Total amount that Ken, Jenson, Nick and Brandon spent
= 755 - 141
= $614
Total amount that Ken and Jenson spent
= 4 u + 80
Total amount that Nick and Brandon spent
= 4 u + 80 + 358
= 4 u + 438
Total amount that Ken, Jenson, Nick and Brandon spent
= 4 u + 80 + 4 u + 438
= 8 u + 518
8 u + 518 = 614
8 u = 614 - 518
8 u = 96
1 u = 96 ÷ 8 = 12
Total amount that Jenson and Nick spent
= 3 u + 80
= 3 x 12 + 80
= 36 + 80
= $116
Total amount that Ken and Brandon spent
= 614 - 116
= $498
Answer(s): $498