Abi and Sarah went shopping. After Abi spent $50
d, Sarah had 5 times as much as Abi. If Abi had $30
d more than Sarah at first,
- Express the amount of money that Abi had at first in terms of d.
- If d = 38, find the amount of money that the two women had left after shopping.
|
Abi |
Sarah |
Before |
1 u + $50d |
5 u |
Change |
- $50d |
|
After |
1 u |
5 u |
(a)
1 u + 50
d = 5 u + 30
d5 u - 1 u = 50
d - 30
d4 u = 50
d - 30
d = 20
d1 u = 20
d ÷ 4 = 5
d Abi's amount at first
= 1 u + 50
d = 5
d + 50
d = $55
d (b)
1 u + 5 u = 6 u
6 u = 6 x 5
d = 30
d Amount the two women had left
= 30 x 38
= $1140
Answer(s): (a) $55
d; (b) $1140