Natalie and Vanessa went shopping. After Natalie spent $76
j, Vanessa had 5 times as much as Natalie. If Natalie had $24
j more than Vanessa at first,
- Express the amount of money that Natalie had at first in terms of j.
- If j = 23, find the amount of money that the two lady had left after shopping.
|
Natalie |
Vanessa |
Before |
1 u + $76j |
5 u |
Change |
- $76j |
|
After |
1 u |
5 u |
(a)
1 u + 76
j = 5 u + 24
j5 u - 1 u = 76
j - 24
j4 u = 76
j - 24
j = 52
j1 u = 52
j ÷ 4 = 13
j Natalie's amount at first
= 1 u + 76
j = 13
j + 76
j = $89
j (b)
1 u + 5 u = 6 u
6 u = 6 x 13
j = 78
j Amount the two lady had left
= 78 x 23
= $1794
Answer(s): (a) $89
j; (b) $1794