On Tuesday, Jane, Esther, Xuan and Olivia spent a total of $121. On Wednesday, Jane spent twice of what she spent on Tuesday, Esther spent the same as what she spent on Tuesday, Xuan spent $20 less than what she spent on Tuesday, and Olivia spent $4 more than what she spent on Tuesday. All of them spent an equal amount on Wednesday. How much did Jane and Olivia spend altogether on Tuesday?
|
Jane |
Esther |
Xuan |
Olivia |
Total |
Before |
1 u |
2 u |
2 u + $20 |
2 u - $4 |
$121 |
Change |
x 2 |
|
- $20 |
+ $4 |
|
After |
2 u |
2 u |
2 u |
2 u |
|
Total amount that the four girls spent on Tuesday
= 1 u + 2 u + 2 u + 20 + 2 u - 4
= 7 u + 20 - 4
= 7 u + 16
7 u + 16 = 121
7 u = 121 - 16
7 u = 105
1 u = 105 ÷ 7 = 15
Total amount that Jane and Olivia spent on Tuesday
= 1 u + 2 u - 4
= 3 u - 4
= 3 x 15 - 4
= 45 - 4
= $41
Answer(s): $41