Cathy and Hilda went shopping. After Cathy spent $88
m, Hilda had 3 times as much as Cathy. If Cathy had $26
m more than Hilda at first,
- Express the amount of money that Cathy had at first in terms of m.
- If m = 38, find the amount of money that the two lady had left after shopping.
|
Cathy |
Hilda |
Before |
1 u + $88m |
3 u |
Change |
- $88m |
|
After |
1 u |
3 u |
(a)
1 u + 88
m = 3 u + 26
m3 u - 1 u = 88
m - 26
m2 u = 88
m - 26
m = 62
m1 u = 62
m ÷ 2 = 31
m Cathy's amount at first
= 1 u + 88
m = 31
m + 88
m = $119
m (b)
1 u + 3 u = 4 u
4 u = 4 x 31
m = 124
m Amount the two lady had left
= 124 x 38
= $4712
Answer(s): (a) $119
m; (b) $4712