On Tuesday, Victoria, Natalie, Diana and Penelope spent a total of $218. On Wednesday, Victoria spent twice of what she spent on Tuesday, Natalie spent the same as what she spent on Tuesday, Diana spent $20 less than what she spent on Tuesday, and Penelope spent $2 more than what she spent on Tuesday. All of them spent an equal amount on Wednesday. How much did Victoria and Penelope spend altogether on Tuesday?
|
Victoria |
Natalie |
Diana |
Penelope |
Total |
Before |
1 u |
3 u |
3 u + $20 |
3 u - $2 |
$218 |
Change |
x 3 |
|
- $20 |
+ $2 |
|
After |
3 u |
3 u |
3 u |
3 u |
|
Total amount that the four girls spent on Tuesday
= 1 u + 3 u + 3 u + 20 + 3 u - 2
= 10 u + 20 - 2
= 10 u + 18
10 u + 18 = 218
10 u = 218 - 18
10 u = 200
1 u = 200 ÷ 10 = 20
Total amount that Victoria and Penelope spent on Tuesday
= 1 u + 3 u - 2
= 4 u - 2
= 4 x 20 - 2
= 80 - 2
= $78
Answer(s): $78