On Wednesday, Xuan, Penelope, Xandra and Jean spent a total of $106. On Thursday, Xuan spent twice of what she spent on Wednesday, Penelope spent the same as what she spent on Wednesday, Xandra spent $17 less than what she spent on Wednesday, and Jean spent $11 more than what she spent on Wednesday. All of them spent an equal amount on Thursday. How much did Xuan and Jean spend altogether on Wednesday?
|
Xuan |
Penelope |
Xandra |
Jean |
Total |
Before |
1 u |
3 u |
3 u + $17 |
3 u - $11 |
$106 |
Change |
x 3 |
|
- $17 |
+ $11 |
|
After |
3 u |
3 u |
3 u |
3 u |
|
Total amount that the four girls spent on Wednesday
= 1 u + 3 u + 3 u + 17 + 3 u - 11
= 10 u + 17 - 11
= 10 u + 6
10 u + 6 = 106
10 u = 106 - 6
10 u = 100
1 u = 100 ÷ 10 = 10
Total amount that Xuan and Jean spent on Wednesday
= 1 u + 3 u - 11
= 4 u - 11
= 4 x 10 - 11
= 40 - 11
= $29
Answer(s): $29