Hazel had $420 less than Emily. Emily spent 0.8 of her money and Hazel spent 10% of her money. In the end, Emily and Hazel had the same amount of money left. Find the amount of money that Emily had at first.
| |
Hazel |
Emily |
Comparing Emily
and Hazel at first |
|
420 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 Hazel and Emily 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 Hazel had less than Emily at first
= 45 u - 10 u
= 35 u
35 u = 420
1 u = 420 ÷ 35 = 12
Amount that Emily had at first
= 45 u
= 45 x 12
= $540
Answer(s): $540
