On Saturday, Emma, Olivia, Xandra and Gem spent a total of $156. On Sunday, Emma spent twice of what she spent on Saturday, Olivia spent the same as what she spent on Saturday, Xandra spent $17 less than what she spent on Saturday, and Gem spent $1 more than what she spent on Saturday. All of them spent an equal amount on Sunday. How much did Emma and Gem spend altogether on Saturday?
| |
Emma |
Olivia |
Xandra |
Gem |
Total |
| Before |
1 u |
2 u |
2 u + $17 |
2 u - $1 |
$156 |
| Change |
x 2 |
|
- $17 |
+ $1 |
|
| After |
2 u |
2 u |
2 u |
2 u |
|
Total amount that the four girls spent on Saturday
= 1 u + 2 u + 2 u + 17 + 2 u - 1
= 7 u + 17 - 1
= 7 u + 16
7 u + 16 = 156
7 u = 156 - 16
7 u = 140
1 u = 140 ÷ 7 = 20
Total amount that Emma and Gem spent on Saturday
= 1 u + 2 u - 1
= 3 u - 1
= 3 x 20 - 1
= 60 - 1
= $59
Answer(s): $59
