On Thursday, Yen, Zara, Eva and Xuan spent a total of $167. On Friday, Yen spent twice of what she spent on Thursday, Zara spent the same as what she spent on Thursday, Eva spent $19 less than what she spent on Thursday, and Xuan spent $12 more than what she spent on Thursday. All of them spent an equal amount on Friday. How much did Yen and Xuan spend altogether on Thursday?
| |
Yen |
Zara |
Eva |
Xuan |
Total |
| Before |
1 u |
3 u |
3 u + $19 |
3 u - $12 |
$167 |
| Change |
x 3 |
|
- $19 |
+ $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 + 19 + 3 u - 12
= 10 u + 19 - 12
= 10 u + 7
10 u + 7 = 167
10 u = 167 - 7
10 u = 160
1 u = 160 ÷ 10 = 16
Total amount that Yen and Xuan spent on Thursday
= 1 u + 3 u - 12
= 4 u - 12
= 4 x 16 - 12
= 64 - 12
= $52
Answer(s): $52
