Risa and Rachel went shopping. After Risa spent $75
x, Rachel had 5 times as much as Risa. If Risa had $21
x more than Rachel at first,
- Express the amount of money that Risa had at first in terms of x.
- If x = 23, find the amount of money that the two lady had left after shopping.
|
Risa |
Rachel |
Before |
1 u + $75x |
5 u |
Change |
- $75x |
|
After |
1 u |
5 u |
(a)
1 u + 75
x = 5 u + 21
x5 u - 1 u = 75
x - 21
x4 u = 75
x - 21
x = 54
x1 u = 54
x ÷ 4 = 13.5
x Risa's amount at first
= 1 u + 75
x = 13.5
x + 75
x = $88.5
x (b)
1 u + 5 u = 6 u
6 u = 6 x 13.5
x = 81
x Amount the two lady had left
= 81 x 23
= $1863
Answer(s): (a) $88.5
x; (b) $1863