On Friday, Raeann, Vanessa, Irene and Esther spent a total of $105. On Saturday, Raeann spent twice of what she spent on Friday, Vanessa spent the same as what she spent on Friday, Irene spent $11 less than what she spent on Friday, and Esther spent $4 more than what she spent on Friday. All of them spent an equal amount on Saturday. How much did Raeann and Esther spend altogether on Friday?
|
Raeann |
Vanessa |
Irene |
Esther |
Total |
Before |
1 u |
2 u |
2 u + $11 |
2 u - $4 |
$105 |
Change |
x 2 |
|
- $11 |
+ $4 |
|
After |
2 u |
2 u |
2 u |
2 u |
|
Total amount that the four girls spent on Friday
= 1 u + 2 u + 2 u + 11 + 2 u - 4
= 7 u + 11 - 4
= 7 u + 7
7 u + 7 = 105
7 u = 105 - 7
7 u = 98
1 u = 98 ÷ 7 = 14
Total amount that Raeann and Esther spent on Friday
= 1 u + 2 u - 4
= 3 u - 4
= 3 x 14 - 4
= 42 - 4
= $38
Answer(s): $38