Justin and Oliver have some money. If Justin gives $361 to Oliver, the ratio of their money will be 2 : 5. If Justin gives $673 to Oliver, the ratio of their money will be 1: 4. How much does Justin have?
| |
Case 1 |
Case 2 |
| |
Justin |
Oliver |
Justin |
Oliver |
| Before |
10 u + $361 |
25 u - $361 |
7 u + $673 |
28 u - $673 |
| Change |
- $361 |
+ $361 |
- $673 |
+ $673 |
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 Justin has at first is the same in both cases.
10 u + 361 = 7 u + 673
10 u - 7 u = 673 - 361
3 u = 312
1 u = 312 ÷ 3 = 104
Amount that Justin has
= 10 u + 361
= 10 x 104 + 361
= 1040 + 361
= $1401
Answer(s): $1401
