On Wednesday, Diana, Opal, Jaslyn and Jade spent a total of $102. On Thursday, Diana spent twice of what she spent on Wednesday, Opal spent the same as what she spent on Wednesday, Jaslyn spent $10 less than what she spent on Wednesday, and Jade spent $6 more than what she spent on Wednesday. All of them spent an equal amount on Thursday. How much did Diana and Jade spend altogether on Wednesday?
|
Diana |
Opal |
Jaslyn |
Jade |
Total |
Before |
1 u |
2 u |
2 u + $10 |
2 u - $6 |
$102 |
Change |
x 2 |
|
- $10 |
+ $6 |
|
After |
2 u |
2 u |
2 u |
2 u |
|
Total amount that the four girls spent on Wednesday
= 1 u + 2 u + 2 u + 10 + 2 u - 6
= 7 u + 10 - 6
= 7 u + 4
7 u + 4 = 102
7 u = 102 - 4
7 u = 98
1 u = 98 ÷ 7 = 14
Total amount that Diana and Jade spent on Wednesday
= 1 u + 2 u - 6
= 3 u - 6
= 3 x 14 - 6
= 42 - 6
= $36
Answer(s): $36