Sarah and Tammy went shopping. After Sarah spent $64
q, Tammy had 4 times as much as Sarah. If Sarah had $28
q more than Tammy at first,
- Express the amount of money that Sarah had at first in terms of q.
- If q = 31, find the amount of money that the two women had left after shopping.
|
Sarah |
Tammy |
Before |
1 u + $64q |
4 u |
Change |
- $64q |
|
After |
1 u |
4 u |
(a)
1 u + 64
q = 4 u + 28
q4 u - 1 u = 64
q - 28
q3 u = 64
q - 28
q = 36
q1 u = 36
q ÷ 3 = 12
q Sarah's amount at first
= 1 u + 64
q = 12
q + 64
q = $76
q (b)
1 u + 4 u = 5 u
5 u = 5 x 12
q = 60
q Amount the two women had left
= 60 x 31
= $1860
Answer(s): (a) $76
q; (b) $1860