On Wednesday, Gabby, Emily, Nora and Olivia spent a total of $163. On Thursday, Gabby spent twice of what she spent on Wednesday, Emily spent the same as what she spent on Wednesday, Nora spent $13 less than what she spent on Wednesday, and Olivia spent $10 more than what she spent on Wednesday. All of them spent an equal amount on Thursday. How much did Gabby and Olivia spend altogether on Wednesday?
| |
Gabby |
Emily |
Nora |
Olivia |
Total |
| Before |
1 u |
3 u |
3 u + $13 |
3 u - $10 |
$163 |
| Change |
x 3 |
|
- $13 |
+ $10 |
|
| After |
3 u |
3 u |
3 u |
3 u |
|
Total amount that the four girls spent on Wednesday
= 1 u + 3 u + 3 u + 13 + 3 u - 10
= 10 u + 13 - 10
= 10 u + 3
10 u + 3 = 163
10 u = 163 - 3
10 u = 160
1 u = 160 ÷ 10 = 16
Total amount that Gabby and Olivia spent on Wednesday
= 1 u + 3 u - 10
= 4 u - 10
= 4 x 16 - 10
= 64 - 10
= $54
Answer(s): $54
