Perry and Tim have some money. If Perry gives $382 to Tim, the ratio of their money will be 2 : 5. If Perry gives $571 to Tim, the ratio of their money will be 1: 4. How much does Perry have?
| |
Case 1 |
Case 2 |
| |
Perry |
Tim |
Perry |
Tim |
| Before |
10 u + $382 |
25 u - $382 |
7 u + $571 |
28 u - $571 |
| Change |
- $382 |
+ $382 |
- $571 |
+ $571 |
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 Perry has at first is the same in both cases.
10 u + 382 = 7 u + 571
10 u - 7 u = 571 - 382
3 u = 189
1 u = 189 ÷ 3 = 63
Amount that Perry has
= 10 u + 382
= 10 x 63 + 382
= 630 + 382
= $1012
Answer(s): $1012
