Owen, Jack, Lee and Sean went shopping with a total of $612. After shopping, they had a total of $169 left. Jack spent $80. The amount Lee spent was
34 the amount spent by Owen. The total amount spent by Owen and Jack was $99 less than the total amount spent by Lee and Sean. How much did Owen and Sean spend altogether?
|
Owen |
Jack |
Lee |
Sean |
Total |
Before |
|
|
|
|
$612 |
Change |
- 4 u |
- $80 |
- 3 u |
- ? |
- $443 |
After |
|
|
|
|
$169 |
Total amount that Owen, Jack, Lee and Sean spent
= 612 - 169
= $443
Total amount that Owen and Jack spent
= 4 u + 80
Total amount that Lee and Sean spent
= 4 u + 80 + 99
= 4 u + 179
Total amount that Owen, Jack, Lee and Sean spent
= 4 u + 80 + 4 u + 179
= 8 u + 259
8 u + 259 = 443
8 u = 443 - 259
8 u = 184
1 u = 184 ÷ 8 = 23
Total amount that Jack and Lee spent
= 3 u + 80
= 3 x 23 + 80
= 69 + 80
= $149
Total amount that Owen and Sean spent
= 443 - 149
= $294
Answer(s): $294