Diana and Irene went shopping. After Diana spent $54
z, Irene had 3 times as much as Diana. If Diana had $25
z more than Irene at first,
- Express the amount of money that Diana had at first in terms of z.
- If z = 36, find the amount of money that the two lady had left after shopping.
|
Diana |
Irene |
Before |
1 u + $54z |
3 u |
Change |
- $54z |
|
After |
1 u |
3 u |
(a)
1 u + 54
z = 3 u + 25
z3 u - 1 u = 54
z - 25
z2 u = 54
z - 25
z = 29
z1 u = 29
z ÷ 2 = 14.5
z Diana's amount at first
= 1 u + 54
z = 14.5
z + 54
z = $68.5
z (b)
1 u + 3 u = 4 u
4 u = 4 x 14.5
z = 58
z Amount the two lady had left
= 58 x 36
= $2088
Answer(s): (a) $68.5
z; (b) $2088