Hazel and Diana went shopping. After Hazel spent $85
r, Diana had 5 times as much as Hazel. If Hazel had $29
r more than Diana at first,
- Express the amount of money that Hazel had at first in terms of r.
- If r = 35, find the amount of money that the two women had left after shopping.
|
Hazel |
Diana |
Before |
1 u + $85r |
5 u |
Change |
- $85r |
|
After |
1 u |
5 u |
(a)
1 u + 85
r = 5 u + 29
r5 u - 1 u = 85
r - 29
r4 u = 85
r - 29
r = 56
r1 u = 56
r ÷ 4 = 14
r Hazel's amount at first
= 1 u + 85
r = 14
r + 85
r = $99
r (b)
1 u + 5 u = 6 u
6 u = 6 x 14
r = 84
r Amount the two women had left
= 84 x 35
= $2940
Answer(s): (a) $99
r; (b) $2940