Zane, Luis, Harry and Sean went shopping with a total of $748. After shopping, they had a total of $97 left. Luis spent $60. The amount Harry spent was
23 the amount spent by Zane. The total amount spent by Zane and Luis was $381 less than the total amount spent by Harry and Sean. How much did Zane and Sean spend altogether?
|
Zane |
Luis |
Harry |
Sean |
Total |
Before |
|
|
|
|
$748 |
Change |
- 3 u |
- $60 |
- 2 u |
- ? |
- $651 |
After |
|
|
|
|
$97 |
Total amount that Zane, Luis, Harry and Sean spent
= 748 - 97
= $651
Total amount that Zane and Luis spent
= 3 u + 60
Total amount that Harry and Sean spent
= 3 u + 60 + 381
= 3 u + 441
Total amount that Zane, Luis, Harry and Sean spent
= 3 u + 60 + 3 u + 441
= 6 u + 501
6 u + 501 = 651
6 u = 651 - 501
6 u = 150
1 u = 150 ÷ 6 = 25
Total amount that Luis and Harry spent
= 2 u + 60
= 2 x 25 + 60
= 50 + 60
= $110
Total amount that Zane and Sean spent
= 651 - 110
= $541
Answer(s): $541