Diana and Vaidev had a total of $83. After Diana spent
27 of her money and Vaidev spent $17, the ratio of Diana's money to Kennenth's money became 1 : 3. How much money had Vaidev at first?
| |
Diana |
Vaidev |
Total |
| Before |
7 u |
15 u + $17 |
$83 |
| Change |
- 2 u |
- $17 |
|
| After |
5 u |
|
|
Comparing Diana and
Vaidev in the end |
1x5 =
5 u |
3x5 =
15 u |
|
The amount that Diana had in the end is repeated. Make the amount that Diana had in the end the same. LCM of 5 and 1 is 5.
Total amount that Diana and Vaidev had at first
= 7 u + 15 u + 17
= 22 u + 17
22 u + 17 = 83
22 u = 83 - 17
22 u = 66
1 u = 66 ÷ 22 = 3
Amount that Vaidev had at first
= 15 u + 17
= 15 x 3 + 17
= 45 + 17
= $62
Answer(s): $62
