Jen had $360 less than Vaidev. Vaidev spent 0.8 of his money and Jen spent 0.4 of her money. In the end, Vaidev and Jen had the same amount of money left. Find the amount of money Jen had at first.
| |
Jen |
Vaidev |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Vaidev's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Jen's amount left
= 1 -
25 =
35 The amount that Vaidev and Jen each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Vaidev's amount =
35 of Jen's amount
315 of Vaidev's amount =
35 of Jen's amount
Amount that Jen had less than Vaidev
= 15 u - 5 u
= 10 u
10 u = 360
1 u = 360 ÷ 10 = 36
Amount that Jen had at first
= 5 u
= 5 x 36
= $180
Answer(s): $180
