Ivory and Nicole have some money. If Ivory spends $12, she will have
25 as much money as Nicole. If Nicole spends $2, Ivory will have
67 as much money as Nicole. How much money does Nicole have?
| |
Case 1 |
Case 2 |
| |
Ivory |
Nicole |
Ivory |
Nicole |
| Before |
2 u + $12 |
5 u |
6 p |
7 p + $2 |
| Change |
- $12 |
|
|
- $2 |
| After |
2 u |
5 u |
6 p |
7 p |
The amount that Ivory has at first in Case 1 and Case 2 is the same.
2 u + 12 = 6 p
2 u = 6 p - 12 --- (1)
The amount that Nicole has at first in Case 1 and Case 2 is the same.
5 u = 7 p + 2 --- (2)
Make u the same.
(1)
x 510 u = 30 p - 60 --- (3)
(2)
x 210 u = 14 p + 4 --- (4)
(3) = (4)
30 p - 60 = 14 p + 4
30 p - 14 p = 60 + 4
16 p = 64
1 p = 64 ÷ 16 = 4
Amount that Nicole has
= 7 p + 2
= 7 x 4 + 2
= 28 + 2
= $30
Answer(s): $30
