Rachel had $120 less than Kimberly. Kimberly spent
38 of her money and Rachel spent
34 of her money. In the end, Kimberly had 3 times as much as Rachel. Find the amount of money Kimberly had at first.
| |
Kimberly |
Rachel |
Comparing Kimberly
and Rachel at first |
$120 more |
|
| Before |
8x3 =
24 u |
4x5 =
20 u |
| Change |
- 3x3 =
- 9 u |
- 3x5 =
- 15 u |
| After |
5x3 =
15 u |
1x5 =
5 u |
Comparing Kimberly
and Rachel in the end |
3x5 =
15 u |
1x5 =
5 u |
The amount that Kimberly had in the end is repeated. Make the amount that Kimberly had in the end the same. LCM of 3 and 5 is 15.
Amount that Rachel had less than Kimberly
= 24 u - 20 u
= 4 u
4 u = 120
1 u = 120 ÷ 4 = 30
Amount that Kimberly had at first
= 24 u
= 24 x 30
= $720
Answer(s): $720
