Erika and Sarah went shopping. After Erika spent $54
z, Sarah had 3 times as much as Erika. If Erika had $22
z more than Sarah at first,
- Express the amount of money that Erika had at first in terms of z.
- If z = 24, find the amount of money that the two women had left after shopping.
|
Erika |
Sarah |
Before |
1 u + $54z |
3 u |
Change |
- $54z |
|
After |
1 u |
3 u |
(a)
1 u + 54
z = 3 u + 22
z3 u - 1 u = 54
z - 22
z2 u = 54
z - 22
z = 32
z1 u = 32
z ÷ 2 = 16
z Erika's amount at first
= 1 u + 54
z = 16
z + 54
z = $70
z (b)
1 u + 3 u = 4 u
4 u = 4 x 16
z = 64
z Amount the two women had left
= 64 x 24
= $1536
Answer(s): (a) $70
z; (b) $1536