Perry and Elijah have some money. If Perry gives $248 to Elijah, the ratio of their money will be 2 : 5. If Perry gives $626 to Elijah, the ratio of their money will be 1: 4. How much does Perry have?
| |
Case 1 |
Case 2 |
| |
Perry |
Elijah |
Perry |
Elijah |
| Before |
10 u + $248 |
25 u - $248 |
7 u + $626 |
28 u - $626 |
| Change |
- $248 |
+ $248 |
- $626 |
+ $626 |
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 + 248 = 7 u + 626
10 u - 7 u = 626 - 248
3 u = 378
1 u = 378 ÷ 3 = 126
Amount that Perry has
= 10 u + 248
= 10 x 126 + 248
= 1260 + 248
= $1508
Answer(s): $1508
