Zane and Sean have some money. If Zane gives $338 to Sean, the ratio of their money will be 2 : 5. If Zane gives $521 to Sean, the ratio of their money will be 1: 4. How much does Zane have?
| |
Case 1 |
Case 2 |
| |
Zane |
Sean |
Zane |
Sean |
| Before |
10 u + $338 |
25 u - $338 |
7 u + $521 |
28 u - $521 |
| Change |
- $338 |
+ $338 |
- $521 |
+ $521 |
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 Zane has at first is the same in both cases.
10 u + 338 = 7 u + 521
10 u - 7 u = 521 - 338
3 u = 183
1 u = 183 ÷ 3 = 61
Amount that Zane has
= 10 u + 338
= 10 x 61 + 338
= 610 + 338
= $948
Answer(s): $948
