Rachel had $70 less than Kathy. Kathy spent 0.2 of her money and Rachel spent 10% of her money. In the end, Kathy and Rachel had the same amount of money left. Find the amount of money that Kathy had at first.
| |
Rachel |
Kathy |
Comparing Kathy
and Rachel at first |
|
70 more |
| Before |
10x4 =
40 u |
5x9 =
45 u |
| Change |
- 1x4 =
- 4 u |
- 1x9 =
- 9 u |
| After |
9x4 =
36 u |
4x9 =
36 u |
0.2 =
210 =
15 10% =
10100 =
110 Rachel and Kathy had the same amount of money in the end. Make the amount that each had in the end the same. LCM of 4 and 9 is 36.
Amount that Rachel had less than Kathy at first
= 45 u - 40 u
= 5 u
5 u = 70
1 u = 70 ÷ 5 = 14
Amount that Kathy had at first
= 45 u
= 45 x 14
= $630
Answer(s): $630
