Emily had $370 less than Zoe. Zoe spent
47 of her money and Emily spent
56 of her money. In the end, Zoe had 4 times as much as Emily. Find the amount of money Zoe had at first.
| |
Zoe |
Emily |
Comparing Zoe
and Emily at first |
$370 more |
|
| Before |
7x4 =
28 u |
6x3 =
18 u |
| Change |
- 4x4 =
- 16 u |
- 5x3 =
- 15 u |
| After |
3x4 =
12 u |
1x3 =
3 u |
Comparing Zoe
and Emily in the end |
4x3 =
12 u |
1x3 =
3 u |
The amount that Zoe had in the end is repeated. Make the amount that Zoe had in the end the same. LCM of 4 and 3 is 12.
Amount that Emily had less than Zoe
= 28 u - 18 u
= 10 u
10 u = 370
1 u = 370 ÷ 10 = 37
Amount that Zoe had at first
= 28 u
= 28 x 37
= $1036
Answer(s): $1036
