Diana and Jaslyn went shopping. After Diana spent $70
b, Jaslyn had 5 times as much as Diana. If Diana had $26
b more than Jaslyn at first,
- Express the amount of money that Diana had at first in terms of b.
- If b = 20, find the amount of money that the two women had left after shopping.
|
Diana |
Jaslyn |
Before |
1 u + $70b |
5 u |
Change |
- $70b |
|
After |
1 u |
5 u |
(a)
1 u + 70
b = 5 u + 26
b5 u - 1 u = 70
b - 26
b4 u = 70
b - 26
b = 44
b1 u = 44
b ÷ 4 = 11
b Diana's amount at first
= 1 u + 70
b = 11
b + 70
b = $81
b (b)
1 u + 5 u = 6 u
6 u = 6 x 11
b = 66
b Amount the two women had left
= 66 x 20
= $1320
Answer(s): (a) $81
b; (b) $1320