Diana had $84 less than Rachel. Rachel spent
35 of her money and Diana spent
34 of her money. In the end, Rachel had 4 times as much as Diana. Find the amount of money Rachel had at first.
| |
Rachel |
Diana |
Comparing Rachel
and Diana at first |
$84 more |
|
| Before |
5x2 =
10 u |
4x1 =
4 u |
| Change |
- 3x2 =
- 6 u |
- 3x1 =
- 3 u |
| After |
2x2 =
4 u |
1x1 =
1 u |
Comparing Rachel
and Diana in the end |
4x1 =
4 u |
1x1 =
1 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 2 is 4.
Amount that Diana had less than Rachel
= 10 u - 4 u
= 6 u
6 u = 84
1 u = 84 ÷ 6 = 14
Amount that Rachel had at first
= 10 u
= 10 x 14
= $140
Answer(s): $140
