On Wednesday, Zoe, Linda, Mary and Tammy spent a total of $171. On Thursday, Zoe spent twice of what she spent on Wednesday, Linda spent the same as what she spent on Wednesday, Mary spent $13 less than what she spent on Wednesday, and Tammy spent $2 more than what she spent on Wednesday. All of them spent an equal amount on Thursday. How much did Zoe and Tammy spend altogether on Wednesday?
| |
Zoe |
Linda |
Mary |
Tammy |
Total |
| Before |
1 u |
3 u |
3 u + $13 |
3 u - $2 |
$171 |
| Change |
x 3 |
|
- $13 |
+ $2 |
|
| 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 - 2
= 10 u + 13 - 2
= 10 u + 11
10 u + 11 = 171
10 u = 171 - 11
10 u = 160
1 u = 160 ÷ 10 = 16
Total amount that Zoe and Tammy spent on Wednesday
= 1 u + 3 u - 2
= 4 u - 2
= 4 x 16 - 2
= 64 - 2
= $62
Answer(s): $62
