Harry and Albert have some money. If Harry gives $233 to Albert, the ratio of their money will be 2 : 5. If Harry gives $491 to Albert, the ratio of their money will be 1: 4. How much does Harry have?
| |
Case 1 |
Case 2 |
| |
Harry |
Albert |
Harry |
Albert |
| Before |
10 u + $233 |
25 u - $233 |
7 u + $491 |
28 u - $491 |
| Change |
- $233 |
+ $233 |
- $491 |
+ $491 |
After
|
2x5 =
10 u |
5x5 =
25 u |
1x7 =
7 u |
4x7 =
28 u |
The total amounts in both cases remain unchanged. Make the total amounts in both cases the same. LCM of 7 and 5 is 35.
The amount that Harry has at first is the same in both cases.
10 u + 233 = 7 u + 491
10 u - 7 u = 491 - 233
3 u = 258
1 u = 258 ÷ 3 = 86
Amount that Harry has
= 10 u + 233
= 10 x 86 + 233
= 860 + 233
= $1093
Answer(s): $1093
