David had $46 more than Hilda. After Hilda spent
23 of her money, David had five times as much money as Hilda. How much money did David have at first?
| |
David |
Hilda |
| Before |
5 u |
3 u |
| Change |
|
- 2 u |
| After |
5 u |
1 u |
Amount that David had in the end
= 5 x 1 u
= 5 u
If Hilda had another $46 at first, the amounts that David and Hilda each had at first will be the same.
5 u = 3 u + 46
5 u - 3 u = 46
2 u = 46
1 u = 46 ÷ 2 = 23
Amount David had at first
= 5 u
= 5 x 23
= $115
Answer(s): $115
