Abi and Nicole went shopping. After Abi spent $61
a, Nicole had 3 times as much as Abi. If Abi had $22
a more than Nicole at first,
- Express the amount of money that Abi had at first in terms of a.
- If a = 26, find the amount of money that the two women had left after shopping.
|
Abi |
Nicole |
Before |
1 u + $61a |
3 u |
Change |
- $61a |
|
After |
1 u |
3 u |
(a)
1 u + 61
a = 3 u + 22
a3 u - 1 u = 61
a - 22
a2 u = 61
a - 22
a = 39
a1 u = 39
a ÷ 2 = 19.5
a Abi's amount at first
= 1 u + 61
a = 19.5
a + 61
a = $80.5
a (b)
1 u + 3 u = 4 u
4 u = 4 x 19.5
a = 78
a Amount the two women had left
= 78 x 26
= $2028
Answer(s): (a) $80.5
a; (b) $2028