Vanessa and Pamela went shopping. After Vanessa spent $50
a, Pamela had 5 times as much as Vanessa. If Vanessa had $28
a more than Pamela at first,
- Express the amount of money that Vanessa had at first in terms of a.
- If a = 17, find the amount of money that the two women had left after shopping.
|
Vanessa |
Pamela |
Before |
1 u + $50a |
5 u |
Change |
- $50a |
|
After |
1 u |
5 u |
(a)
1 u + 50
a = 5 u + 28
a5 u - 1 u = 50
a - 28
a4 u = 50
a - 28
a = 22
a1 u = 22
a ÷ 4 = 5.5
a Vanessa's amount at first
= 1 u + 50
a = 5.5
a + 50
a = $55.5
a (b)
1 u + 5 u = 6 u
6 u = 6 x 5.5
a = 33
a Amount the two women had left
= 33 x 17
= $561
Answer(s): (a) $55.5
a; (b) $561