Jean had $441 less than Hilda. Hilda spent
38 of her money and Jean spent
23 of her money. In the end, Hilda had 3 times as much as Jean. Find the amount of money Hilda had at first.
|
Hilda |
Jean |
Comparing Hilda and Jean at first |
$441 more |
|
Before |
8x3 = 24 u |
3x5 = 15 u |
Change |
- 3x3 = - 9 u |
- 2x5 = - 10 u |
After |
5x3 = 15 u |
1x5 = 5 u |
Comparing Hilda and Jean in the end |
3x5 = 15 u |
1x5 = 5 u |
The amount that Hilda had in the end is repeated. Make the amount that Hilda had in the end the same. LCM of 3 and 5 is 15.
Amount that Jean had less than Hilda
= 24 u - 15 u
= 9 u
9 u = 441
1 u = 441 ÷ 9 = 49
Amount that Hilda had at first
= 24 u
= 24 x 49
= $1176
Answer(s): $1176