Penelope and Opal went shopping. After Penelope spent $78
t, Opal had 3 times as much as Penelope. If Penelope had $28
t more than Opal at first,
- Express the amount of money that Penelope had at first in terms of t.
- If t = 37, find the amount of money that the two lady had left after shopping.
|
Penelope |
Opal |
Before |
1 u + $78t |
3 u |
Change |
- $78t |
|
After |
1 u |
3 u |
(a)
1 u + 78
t = 3 u + 28
t3 u - 1 u = 78
t - 28
t2 u = 78
t - 28
t = 50
t1 u = 50
t ÷ 2 = 25
t Penelope's amount at first
= 1 u + 78
t = 25
t + 78
t = $103
t (b)
1 u + 3 u = 4 u
4 u = 4 x 25
t = 100
t Amount the two lady had left
= 100 x 37
= $3700
Answer(s): (a) $103
t; (b) $3700