Yen and Jaslyn went shopping. After Yen spent $89
f, Jaslyn had 4 times as much as Yen. If Yen had $29
f more than Jaslyn at first,
- Express the amount of money that Yen had at first in terms of f.
- If f = 38, find the amount of money that the two women had left after shopping.
|
Yen |
Jaslyn |
Before |
1 u + $89f |
4 u |
Change |
- $89f |
|
After |
1 u |
4 u |
(a)
1 u + 89
f = 4 u + 29
f4 u - 1 u = 89
f - 29
f3 u = 89
f - 29
f = 60
f1 u = 60
f ÷ 3 = 20
f Yen's amount at first
= 1 u + 89
f = 20
f + 89
f = $109
f (b)
1 u + 4 u = 5 u
5 u = 5 x 20
f = 100
f Amount the two women had left
= 100 x 38
= $3800
Answer(s): (a) $109
f; (b) $3800