Jen had $96 less than Hilda. Hilda spent
35 of her money and Jen spent
78 of her money. In the end, Hilda had 4 times as much as Jen. Find the amount of money Hilda had at first.
| |
Hilda |
Jen |
Comparing Hilda
and Jen at first |
$96 more |
|
| Before |
5x2 =
10 u |
8x1 =
8 u |
| Change |
- 3x2 =
- 6 u |
- 7x1 =
- 7 u |
| After |
2x2 =
4 u |
1x1 =
1 u |
Comparing Hilda
and Jen in the end |
4x1 =
4 u |
1x1 =
1 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 2 is 4.
Amount that Jen had less than Hilda
= 10 u - 8 u
= 2 u
2 u = 96
1 u = 96 ÷ 2 = 48
Amount that Hilda had at first
= 10 u
= 10 x 48
= $480
Answer(s): $480
