Usha and Roshel went shopping. After Usha spent $95
q, Roshel had 3 times as much as Usha. If Usha had $21
q more than Roshel at first,
- Express the amount of money that Usha had at first in terms of q.
- If q = 23, find the amount of money that the two lady had left after shopping.
|
Usha |
Roshel |
Before |
1 u + $95q |
3 u |
Change |
- $95q |
|
After |
1 u |
3 u |
(a)
1 u + 95
q = 3 u + 21
q3 u - 1 u = 95
q - 21
q2 u = 95
q - 21
q = 74
q1 u = 74
q ÷ 2 = 37
q Usha's amount at first
= 1 u + 95
q = 37
q + 95
q = $132
q (b)
1 u + 3 u = 4 u
4 u = 4 x 37
q = 148
q Amount the two lady had left
= 148 x 23
= $3404
Answer(s): (a) $132
q; (b) $3404