Anna and Olivium went shopping. After Anna spent $67
a, Olivium had 5 times as much as Anna. If Anna had $21
a more than Olivium at first,
- Express the amount of money that Anna had at first in terms of a.
- If a = 21, find the amount of money that the two women had left after shopping.
|
Anna |
Olivium |
Before |
1 u + $67a |
5 u |
Change |
- $67a |
|
After |
1 u |
5 u |
(a)
1 u + 67
a = 5 u + 21
a5 u - 1 u = 67
a - 21
a4 u = 67
a - 21
a = 46
a1 u = 46
a ÷ 4 = 11.5
a Anna's amount at first
= 1 u + 67
a = 11.5
a + 67
a = $78.5
a (b)
1 u + 5 u = 6 u
6 u = 6 x 11.5
a = 69
a Amount the two women had left
= 69 x 21
= $1449
Answer(s): (a) $78.5
a; (b) $1449