Barbara had $352 less than Hilda. Hilda spent
58 of her money and Barbara spent
67 of her money. In the end, Hilda had 4 times as much as Barbara. Find the amount of money Hilda had at first.
|
Hilda |
Barbara |
Comparing Hilda and Barbara at first |
$352 more |
|
Before |
8x4 = 32 u |
7x3 = 21 u |
Change |
- 5x4 = - 20 u |
- 6x3 = - 18 u |
After |
3x4 = 12 u |
1x3 = 3 u |
Comparing Hilda and Barbara in the end |
4x3 = 12 u |
1x3 = 3 u |
The amount that Hilda had in the end is repeated. Make the amount that Hilda had in the end the same. LCM of 4 and 3 is 12.
Amount that Barbara had less than Hilda
= 32 u - 21 u
= 11 u
11 u = 352
1 u = 352 ÷ 11 = 32
Amount that Hilda had at first
= 32 u
= 32 x 32
= $1024
Answer(s): $1024