Penelope had $475 less than Hazel. Hazel spent 0.6 of her money and Penelope spent 10% of her money. In the end, Hazel and Penelope had the same amount of money left. Find the amount of money that Hazel had at first.
| |
Penelope |
Hazel |
Comparing Hazel
and Penelope at first |
|
475 more |
| Before |
10x2 =
20 u |
5x9 =
45 u |
| Change |
- 1x2 =
- 2 u |
- 3x9 =
- 27 u |
| After |
9x2 =
18 u |
2x9 =
18 u |
0.6 =
610 =
35 10% =
10100 =
110 Penelope and Hazel had the same amount of money in the end. Make the amount that each had in the end the same. LCM of 2 and 9 is 18.
Amount that Penelope had less than Hazel at first
= 45 u - 20 u
= 25 u
25 u = 475
1 u = 475 ÷ 25 = 19
Amount that Hazel had at first
= 45 u
= 45 x 19
= $855
Answer(s): $855
