Lucy had $270 less than Hazel. Hazel spent 0.6 of her money and Lucy spent 30% of her money. In the end, Hazel and Lucy had the same amount of money left. Find the amount of money that Hazel had at first.
|
Lucy |
Hazel |
Comparing Hazel and Lucy at first |
|
270 more |
Before |
10x2 = 20 u |
5x7 = 35 u |
Change |
- 3x2 = - 6 u |
- 3x7 = - 21 u |
After |
7x2 = 14 u |
2x7 = 14 u |
0.6 =
610 =
35 30% =
30100 =
310 Lucy 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 7 is 14.
Amount that Lucy had less than Hazel at first
= 35 u - 20 u
= 15 u
15 u = 270
1 u = 270 ÷ 15 = 18
Amount that Hazel had at first
= 35 u
= 35 x 18
= $630
Answer(s): $630