Jen and Xandra went shopping. After Jen spent $93
g, Xandra had 3 times as much as Jen. If Jen had $26
g more than Xandra at first,
- Express the amount of money that Jen had at first in terms of g.
- If g = 10, find the amount of money that the two women had left after shopping.
|
Jen |
Xandra |
Before |
1 u + $93g |
3 u |
Change |
- $93g |
|
After |
1 u |
3 u |
(a)
1 u + 93
g = 3 u + 26
g3 u - 1 u = 93
g - 26
g2 u = 93
g - 26
g = 67
g1 u = 67
g ÷ 2 = 33.5
g Jen's amount at first
= 1 u + 93
g = 33.5
g + 93
g = $126.5
g (b)
1 u + 3 u = 4 u
4 u = 4 x 33.5
g = 134
g Amount the two women had left
= 134 x 10
= $1340
Answer(s): (a) $126.5
g; (b) $1340