Barbara and Xylium went shopping. After Barbara spent $85
n, Xylium had 5 times as much as Barbara. If Barbara had $29
n more than Xylium at first,
- Express the amount of money that Barbara had at first in terms of n.
- If n = 35, find the amount of money that the two lady had left after shopping.
|
Barbara |
Xylium |
Before |
1 u + $85n |
5 u |
Change |
- $85n |
|
After |
1 u |
5 u |
(a)
1 u + 85
n = 5 u + 29
n5 u - 1 u = 85
n - 29
n4 u = 85
n - 29
n = 56
n1 u = 56
n ÷ 4 = 14
n Barbara's amount at first
= 1 u + 85
n = 14
n + 85
n = $99
n (b)
1 u + 5 u = 6 u
6 u = 6 x 14
n = 84
n Amount the two lady had left
= 84 x 35
= $2940
Answer(s): (a) $99
n; (b) $2940