Marion had $800 less than Shannon. Shannon spent
47 of her money and Marion spent
34 of her money. In the end, Shannon had 4 times as much as Marion. Find the amount of money Shannon had at first.
| |
Shannon |
Marion |
Comparing Shannon
and Marion at first |
$800 more |
|
| Before |
7x4 =
28 u |
4x3 =
12 u |
| Change |
- 4x4 =
- 16 u |
- 3x3 =
- 9 u |
| After |
3x4 =
12 u |
1x3 =
3 u |
Comparing Shannon
and Marion in the end |
4x3 =
12 u |
1x3 =
3 u |
The amount that Shannon had in the end is repeated. Make the amount that Shannon had in the end the same. LCM of 4 and 3 is 12.
Amount that Marion had less than Shannon
= 28 u - 12 u
= 16 u
16 u = 800
1 u = 800 ÷ 16 = 50
Amount that Shannon had at first
= 28 u
= 28 x 50
= $1400
Answer(s): $1400
