Hilda had $189 more than Elijah. Hilda spent
34 of her money and Elijah spent
37 of his money. In the end, Elijah and Hilda had the same amount of money left. Find the amount of money Elijah had at first.
| |
Hilda |
Elijah |
More |
Before |
4x4 =
16 u |
7 u |
9 u |
Change |
- 3x4 =
- 12 u |
- 3 u |
|
After |
1x4 =
4 u |
4 u |
|
Fraction of money that Hilda left
= 1 -
34 =
14 Fraction of money that Elijah left
= 1 -
37 =
47 The amount of money that Elijah and Hilda had in the end is the same. Make the amount of money that Elijah and Hilda had in the end the same. LCM of 1 and 4 is 4.
Amount that Hilda had more than Elijah at first
= 16 u - 7 u
= 9 u
9 u = 189
1 u = 189 ÷ 9 = 21
Amount that Elijah had at first
= 7 u
= 7 x 21
= $147
Answer(s): $147
