Nicole and Xandra have some money. If Nicole spends $8, she will have
25 as much money as Xandra. If Xandra spends $24, Nicole will have
57 as much money as Xandra. How much money does Xandra have?
| |
Case 1 |
Case 2 |
| |
Nicole |
Xandra |
Nicole |
Xandra |
| Before |
2 u + $8 |
5 u |
5 p |
7 p + $24 |
| Change |
- $8 |
|
|
- $24 |
| After |
2 u |
5 u |
5 p |
7 p |
The amount that Nicole has at first in Case 1 and Case 2 is the same.
2 u + 8 = 5 p
2 u = 5 p - 8 --- (1)
The amount that Xandra has at first in Case 1 and Case 2 is the same.
5 u = 7 p + 24 --- (2)
Make u the same.
(1)
x 510 u = 25 p - 40 --- (3)
(2)
x 210 u = 14 p + 48 --- (4)
(3) = (4)
25 p - 40 = 14 p + 48
25 p - 14 p = 40 + 48
11 p = 88
1 p = 88 ÷ 11 = 8
Amount that Xandra has
= 7 p + 24
= 7 x 8 + 24
= 56 + 24
= $80
Answer(s): $80
