Emma and Hilda went shopping. After Emma spent $68
y, Hilda had 3 times as much as Emma. If Emma had $21
y more than Hilda at first,
- Express the amount of money that Emma had at first in terms of y.
- If y = 28, find the amount of money that the two lady had left after shopping.
|
Emma |
Hilda |
Before |
1 u + $68y |
3 u |
Change |
- $68y |
|
After |
1 u |
3 u |
(a)
1 u + 68
y = 3 u + 21
y3 u - 1 u = 68
y - 21
y2 u = 68
y - 21
y = 47
y1 u = 47
y ÷ 2 = 23.5
y Emma's amount at first
= 1 u + 68
y = 23.5
y + 68
y = $91.5
y (b)
1 u + 3 u = 4 u
4 u = 4 x 23.5
y = 94
y Amount the two lady had left
= 94 x 28
= $2632
Answer(s): (a) $91.5
y; (b) $2632