On Monday, Nicole, Dana, Usha and Betty spent a total of $106. On Tuesday, Nicole spent twice of what she spent on Monday, Dana spent the same as what she spent on Monday, Usha spent $20 less than what she spent on Monday, and Betty spent $12 more than what she spent on Monday. All of them spent an equal amount on Tuesday. How much did Nicole and Betty spend altogether on Monday?
| |
Nicole |
Dana |
Usha |
Betty |
Total |
| Before |
1 u |
2 u |
2 u + $20 |
2 u - $12 |
$106 |
| Change |
x 2 |
|
- $20 |
+ $12 |
|
| After |
2 u |
2 u |
2 u |
2 u |
|
Total amount that the four girls spent on Monday
= 1 u + 2 u + 2 u + 20 + 2 u - 12
= 7 u + 20 - 12
= 7 u + 8
7 u + 8 = 106
7 u = 106 - 8
7 u = 98
1 u = 98 ÷ 7 = 14
Total amount that Nicole and Betty spent on Monday
= 1 u + 2 u - 12
= 3 u - 12
= 3 x 14 - 12
= 42 - 12
= $30
Answer(s): $30
