Barbara had $130 more than Jean. Barbara spent
47 of her money and Jean spent
56 of her money. In the end, Barbara had 4 times as much as Jean. Find the amount of money Jean had at first.
| |
Barbara |
Jean |
Comparing Barbara
and Jean at first |
$130 more |
|
| Before |
7x4 =
28 u |
6x3 =
18 u |
| Change |
- 4x4 =
- 16 u |
- 5x3 =
- 15 u |
| After |
3x4 =
12 u |
1x3 =
3 u |
Comparing Barbara
and Jean in the end |
4x3 =
12 u |
1x3 =
3 u |
The amount that Barbara had in the end is repeated. Make the amount that Barbara had in the end the same. LCM of 4 and 3 is 12.
Amount that Barbara had more than Jean
= 28 u - 18 u
= 10 u
10 u = 130
1 u = 130 ÷ 10 = 13
Amount that Jean had at first
= 18 u
= 18 x 13
= $234
Answer(s): $234
