Hilda and Raeann have some money. If Hilda spends $14, she will have
25 as much money as Raeann. If Raeann spends $37, Hilda will have
67 as much money as Raeann. How much money does Hilda have?
| |
Case 1 |
Case 2 |
| |
Hilda |
Raeann |
Hilda |
Raeann |
| Before |
2 u + $14 |
5 u |
6 p |
7 p + $37 |
| Change |
- $14 |
|
|
- $37 |
| After |
2 u |
5 u |
6 p |
7 p |
The amount that Hilda has at first in Case 1 and Case 2 is the same.
2 u + 14 = 6 p
2 u = 6 p - 14 --- (1)
The amount that Raeann has at first in Case 1 and Case 2 is the same.
5 u = 7 p + 37 --- (2)
Make u the same.
(1)
x 510 u = 30 p - 70 --- (3)
(2)
x 210 u = 14 p + 74 --- (4)
(3) = (4)
30 p - 70 = 14 p + 74
30 p - 14 p = 70 + 74
16 p = 144
1 p = 144 ÷ 16 = 9
Amount that Hilda has
= 6 p
= 6 x 9
= $54
Answer(s): $54
