Jane had $174 less than Linda. Linda spent
35 of her money and Jane spent
34 of her money. In the end, Linda had 4 times as much as Jane. Find the amount of money Linda had at first.
| |
Linda |
Jane |
Comparing Linda
and Jane at first |
$174 more |
|
| Before |
5x2 =
10 u |
4x1 =
4 u |
| Change |
- 3x2 =
- 6 u |
- 3x1 =
- 3 u |
| After |
2x2 =
4 u |
1x1 =
1 u |
Comparing Linda
and Jane in the end |
4x1 =
4 u |
1x1 =
1 u |
The amount that Linda had in the end is repeated. Make the amount that Linda had in the end the same. LCM of 4 and 2 is 4.
Amount that Jane had less than Linda
= 10 u - 4 u
= 6 u
6 u = 174
1 u = 174 ÷ 6 = 29
Amount that Linda had at first
= 10 u
= 10 x 29
= $290
Answer(s): $290
