Rachel had $273 more than Jade. Rachel spent
47 of her money and Jade spent
45 of her money. In the end, Rachel had 4 times as much as Jade. Find the amount of money Jade had at first.
| |
Rachel |
Jade |
Comparing Rachel
and Jade at first |
$273 more |
|
| Before |
7x4 =
28 u |
5x3 =
15 u |
| Change |
- 4x4 =
- 16 u |
- 4x3 =
- 12 u |
| After |
3x4 =
12 u |
1x3 =
3 u |
Comparing Rachel
and Jade in the end |
4x3 =
12 u |
1x3 =
3 u |
The amount that Rachel had in the end is repeated. Make the amount that Rachel had in the end the same. LCM of 4 and 3 is 12.
Amount that Rachel had more than Jade
= 28 u - 15 u
= 13 u
13 u = 273
1 u = 273 ÷ 13 = 21
Amount that Jade had at first
= 15 u
= 15 x 21
= $315
Answer(s): $315
