Kylie and Gem have some money. If Kylie spends $28, she will have
25 as much money as Gem. If Gem spends $8, Kylie will have
56 as much money as Gem. How much money does Kylie have?
| |
Case 1 |
Case 2 |
| |
Kylie |
Gem |
Kylie |
Gem |
| Before |
2 u + $28 |
5 u |
5 p |
6 p + $8 |
| Change |
- $28 |
|
|
- $8 |
| After |
2 u |
5 u |
5 p |
6 p |
The amount that Kylie has at first in Case 1 and Case 2 is the same.
2 u + 28 = 5 p
2 u = 5 p - 28 --- (1)
The amount that Gem has at first in Case 1 and Case 2 is the same.
5 u = 6 p + 8 --- (2)
Make u the same.
(1)
x 510 u = 25 p - 140 --- (3)
(2)
x 210 u = 12 p + 16 --- (4)
(3) = (4)
25 p - 140 = 12 p + 16
25 p - 12 p = 140 + 16
13 p = 156
1 p = 156 ÷ 13 = 12
Amount that Kylie has
= 5 p
= 5 x 12
= $60
Answer(s): $60
