Cathy had $805 less than Sabrina. Sabrina spent 0.8 of her money and Cathy spent 10% of her money. In the end, Sabrina and Cathy had the same amount of money left. Find the amount of money that Sabrina had at first.
| |
Cathy |
Sabrina |
Comparing Sabrina
and Cathy at first |
|
805 more |
| Before |
10x1 =
10 u |
5x9 =
45 u |
| Change |
- 1x1 =
- 1 u |
- 4x9 =
- 36 u |
| After |
9x1 =
9 u |
1x9 =
9 u |
0.8 =
810 =
45 10% =
10100 =
110 Cathy and Sabrina had the same amount of money in the end. Make the amount that each had in the end the same. LCM of 1 and 9 is 9.
Amount that Cathy had less than Sabrina at first
= 45 u - 10 u
= 35 u
35 u = 805
1 u = 805 ÷ 35 = 23
Amount that Sabrina had at first
= 45 u
= 45 x 23
= $1035
Answer(s): $1035
