On Tuesday, Yen, Esther, Roshel and Barbara spent a total of $83. On Wednesday, Yen spent twice of what she spent on Tuesday, Esther spent the same as what she spent on Tuesday, Roshel spent $16 less than what she spent on Tuesday, and Barbara spent $3 more than what she spent on Tuesday. All of them spent an equal amount on Wednesday. How much did Yen and Barbara spend altogether on Tuesday?
|
Yen |
Esther |
Roshel |
Barbara |
Total |
Before |
1 u |
2 u |
2 u + $16 |
2 u - $3 |
$83 |
Change |
x 2 |
|
- $16 |
+ $3 |
|
After |
2 u |
2 u |
2 u |
2 u |
|
Total amount that the four girls spent on Tuesday
= 1 u + 2 u + 2 u + 16 + 2 u - 3
= 7 u + 16 - 3
= 7 u + 13
7 u + 13 = 83
7 u = 83 - 13
7 u = 70
1 u = 70 ÷ 7 = 10
Total amount that Yen and Barbara spent on Tuesday
= 1 u + 2 u - 3
= 3 u - 3
= 3 x 10 - 3
= 30 - 3
= $27
Answer(s): $27