Usha and Vanessa went shopping. After Usha spent $86
m, Vanessa had 4 times as much as Usha. If Usha had $26
m more than Vanessa at first,
- Express the amount of money that Usha had at first in terms of m.
- If m = 21, find the amount of money that the two women had left after shopping.
|
Usha |
Vanessa |
Before |
1 u + $86m |
4 u |
Change |
- $86m |
|
After |
1 u |
4 u |
(a)
1 u + 86
m = 4 u + 26
m4 u - 1 u = 86
m - 26
m3 u = 86
m - 26
m = 60
m1 u = 60
m ÷ 3 = 20
m Usha's amount at first
= 1 u + 86
m = 20
m + 86
m = $106
m (b)
1 u + 4 u = 5 u
5 u = 5 x 20
m = 100
m Amount the two women had left
= 100 x 21
= $2100
Answer(s): (a) $106
m; (b) $2100