Erika had $874 more than Winnie. Erika spent
58 of her money and Winnie spent
23 of her money. In the end, Erika had 4 times as much as Winnie. Find the amount of money Winnie had at first.
| |
Erika |
Winnie |
Comparing Erika
and Winnie at first |
$874 more |
|
| Before |
8x4 =
32 u |
3x3 =
9 u |
| Change |
- 5x4 =
- 20 u |
- 2x3 =
- 6 u |
| After |
3x4 =
12 u |
1x3 =
3 u |
Comparing Erika
and Winnie in the end |
4x3 =
12 u |
1x3 =
3 u |
The amount that Erika had in the end is repeated. Make the amount that Erika had in the end the same. LCM of 4 and 3 is 12.
Amount that Erika had more than Winnie
= 32 u - 9 u
= 23 u
23 u = 874
1 u = 874 ÷ 23 = 38
Amount that Winnie had at first
= 9 u
= 9 x 38
= $342
Answer(s): $342
