Zane and Neave have some money. If Zane gives $391 to Neave, the ratio of their money will be 2 : 5. If Zane gives $580 to Neave, the ratio of their money will be 1: 4. How much does Zane have?
| |
Case 1 |
Case 2 |
| |
Zane |
Neave |
Zane |
Neave |
| Before |
10 u + $391 |
25 u - $391 |
7 u + $580 |
28 u - $580 |
| Change |
- $391 |
+ $391 |
- $580 |
+ $580 |
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 + 391 = 7 u + 580
10 u - 7 u = 580 - 391
3 u = 189
1 u = 189 ÷ 3 = 63
Amount that Zane has
= 10 u + 391
= 10 x 63 + 391
= 630 + 391
= $1021
Answer(s): $1021
