Joelle and Xylium went shopping. After Joelle spent $53
t, Xylium had 3 times as much as Joelle. If Joelle had $25
t more than Xylium at first,
- Express the amount of money that Joelle had at first in terms of t.
- If t = 13, find the amount of money that the two women had left after shopping.
|
Joelle |
Xylium |
Before |
1 u + $53t |
3 u |
Change |
- $53t |
|
After |
1 u |
3 u |
(a)
1 u + 53
t = 3 u + 25
t3 u - 1 u = 53
t - 25
t2 u = 53
t - 25
t = 28
t1 u = 28
t ÷ 2 = 14
t Joelle's amount at first
= 1 u + 53
t = 14
t + 53
t = $67
t (b)
1 u + 3 u = 4 u
4 u = 4 x 14
t = 56
t Amount the two women had left
= 56 x 13
= $728
Answer(s): (a) $67
t; (b) $728