Hilda had $189 more than Daniel. Hilda spent
23 of her money and Daniel spent
38 of his money. In the end, Daniel and Hilda had the same amount of money left. Find the amount of money Daniel had at first.
| |
Hilda |
Daniel |
More |
Before |
3x5 =
15 u |
8 u |
7 u |
Change |
- 2x5 =
- 10 u |
- 3 u |
|
After |
1x5 =
5 u |
5 u |
|
Fraction of money that Hilda left
= 1 -
23 =
13 Fraction of money that Daniel left
= 1 -
38 =
58 The amount of money that Daniel and Hilda had in the end is the same. Make the amount of money that Daniel and Hilda had in the end the same. LCM of 1 and 5 is 5.
Amount that Hilda had more than Daniel at first
= 15 u - 8 u
= 7 u
7 u = 189
1 u = 189 ÷ 7 = 27
Amount that Daniel had at first
= 8 u
= 8 x 27
= $216
Answer(s): $216
