On Thursday, Anna, Pamela, Roshel and Penelope spent a total of $163. On Friday, Anna spent twice of what she spent on Thursday, Pamela spent the same as what she spent on Thursday, Roshel spent $15 less than what she spent on Thursday, and Penelope spent $12 more than what she spent on Thursday. All of them spent an equal amount on Friday. How much did Anna and Penelope spend altogether on Thursday?
| |
Anna |
Pamela |
Roshel |
Penelope |
Total |
| Before |
1 u |
3 u |
3 u + $15 |
3 u - $12 |
$163 |
| Change |
x 3 |
|
- $15 |
+ $12 |
|
| After |
3 u |
3 u |
3 u |
3 u |
|
Total amount that the four girls spent on Thursday
= 1 u + 3 u + 3 u + 15 + 3 u - 12
= 10 u + 15 - 12
= 10 u + 3
10 u + 3 = 163
10 u = 163 - 3
10 u = 160
1 u = 160 ÷ 10 = 16
Total amount that Anna and Penelope spent on Thursday
= 1 u + 3 u - 12
= 4 u - 12
= 4 x 16 - 12
= 64 - 12
= $52
Answer(s): $52
