On Thursday, Xandra, Gabby, Erika and Risa spent a total of $163. On Friday, Xandra spent twice of what she spent on Thursday, Gabby spent the same as what she spent on Thursday, Erika spent $18 less than what she spent on Thursday, and Risa spent $5 more than what she spent on Thursday. All of them spent an equal amount on Friday. How much did Xandra and Risa spend altogether on Thursday?
| |
Xandra |
Gabby |
Erika |
Risa |
Total |
| Before |
1 u |
3 u |
3 u + $18 |
3 u - $5 |
$163 |
| Change |
x 3 |
|
- $18 |
+ $5 |
|
| After |
3 u |
3 u |
3 u |
3 u |
|
Total amount that the four girls spent on Thursday
= 1 u + 3 u + 3 u + 18 + 3 u - 5
= 10 u + 18 - 5
= 10 u + 13
10 u + 13 = 163
10 u = 163 - 13
10 u = 150
1 u = 150 ÷ 10 = 15
Total amount that Xandra and Risa spent on Thursday
= 1 u + 3 u - 5
= 4 u - 5
= 4 x 15 - 5
= 60 - 5
= $55
Answer(s): $55
