Opal and Esther went shopping. After Opal spent $64
p, Esther had 3 times as much as Opal. If Opal had $25
p more than Esther at first,
- Express the amount of money that Opal had at first in terms of p.
- If p = 33, find the amount of money that the two lady had left after shopping.
|
Opal |
Esther |
Before |
1 u + $64p |
3 u |
Change |
- $64p |
|
After |
1 u |
3 u |
(a)
1 u + 64
p = 3 u + 25
p3 u - 1 u = 64
p - 25
p2 u = 64
p - 25
p = 39
p1 u = 39
p ÷ 2 = 19.5
p Opal's amount at first
= 1 u + 64
p = 19.5
p + 64
p = $83.5
p (b)
1 u + 3 u = 4 u
4 u = 4 x 19.5
p = 78
p Amount the two lady had left
= 78 x 33
= $2574
Answer(s): (a) $83.5
p; (b) $2574