On Friday, Mary, Zoe, Esther and Victoria spent a total of $214. On Saturday, Mary spent twice of what she spent on Friday, Zoe spent the same as what she spent on Friday, Esther spent $16 less than what she spent on Friday, and Victoria spent $2 more than what she spent on Friday. All of them spent an equal amount on Saturday. How much did Mary and Victoria spend altogether on Friday?
| |
Mary |
Zoe |
Esther |
Victoria |
Total |
| Before |
1 u |
3 u |
3 u + $16 |
3 u - $2 |
$214 |
| Change |
x 3 |
|
- $16 |
+ $2 |
|
| After |
3 u |
3 u |
3 u |
3 u |
|
Total amount that the four girls spent on Friday
= 1 u + 3 u + 3 u + 16 + 3 u - 2
= 10 u + 16 - 2
= 10 u + 14
10 u + 14 = 214
10 u = 214 - 14
10 u = 200
1 u = 200 ÷ 10 = 20
Total amount that Mary and Victoria spent on Friday
= 1 u + 3 u - 2
= 4 u - 2
= 4 x 20 - 2
= 80 - 2
= $78
Answer(s): $78
