Lucy had $112 less than Natalie. Natalie spent
35 of her money and Lucy spent
23 of her money. In the end, Natalie had 4 times as much as Lucy. Find the amount of money Natalie had at first.
| |
Natalie |
Lucy |
Comparing Natalie
and Lucy at first |
$112 more |
|
| Before |
5x2 =
10 u |
3x1 =
3 u |
| Change |
- 3x2 =
- 6 u |
- 2x1 =
- 2 u |
| After |
2x2 =
4 u |
1x1 =
1 u |
Comparing Natalie
and Lucy in the end |
4x1 =
4 u |
1x1 =
1 u |
The amount that Natalie had in the end is repeated. Make the amount that Natalie had in the end the same. LCM of 4 and 2 is 4.
Amount that Lucy had less than Natalie
= 10 u - 3 u
= 7 u
7 u = 112
1 u = 112 ÷ 7 = 16
Amount that Natalie had at first
= 10 u
= 10 x 16
= $160
Answer(s): $160
