Eva had $315 more than Jade. Eva spent
37 of her money and Jade spent
23 of her money. In the end, Eva had 3 times as much as Jade. Find the amount of money Jade had at first.
| |
Eva |
Jade |
Comparing Eva
and Jade at first |
$315 more |
|
| Before |
7x3 =
21 u |
3x4 =
12 u |
| Change |
- 3x3 =
- 9 u |
- 2x4 =
- 8 u |
| After |
4x3 =
12 u |
1x4 =
4 u |
Comparing Eva
and Jade in the end |
3x4 =
12 u |
1x4 =
4 u |
The amount that Eva had in the end is repeated. Make the amount that Eva had in the end the same. LCM of 3 and 4 is 12.
Amount that Eva had more than Jade
= 21 u - 12 u
= 9 u
9 u = 315
1 u = 315 ÷ 9 = 35
Amount that Jade had at first
= 12 u
= 12 x 35
= $420
Answer(s): $420
