Jen and Esther went shopping. After Jen spent $77
h, Esther had 3 times as much as Jen. If Jen had $30
h more than Esther at first,
- Express the amount of money that Jen had at first in terms of h.
- If h = 29, find the amount of money that the two women had left after shopping.
|
Jen |
Esther |
Before |
1 u + $77h |
3 u |
Change |
- $77h |
|
After |
1 u |
3 u |
(a)
1 u + 77
h = 3 u + 30
h3 u - 1 u = 77
h - 30
h2 u = 77
h - 30
h = 47
h1 u = 47
h ÷ 2 = 23.5
h Jen's amount at first
= 1 u + 77
h = 23.5
h + 77
h = $100.5
h (b)
1 u + 3 u = 4 u
4 u = 4 x 23.5
h = 94
h Amount the two women had left
= 94 x 29
= $2726
Answer(s): (a) $100.5
h; (b) $2726