Ben and David received a total of $224. After Ben spent
34 of his money and David spent
45 of his money, David had 2 times as much money as Ben. How much money did David have at first?
| |
Ben |
David |
Total |
Before |
4 u |
5x2 =
10 u |
14 u |
Change |
- 3 u |
- 4x2 =
- 8 u |
|
After |
1 u |
1x2 =
2 u |
|
Comparing Ben
and David in the end |
1 u |
2 u |
|
The amount that David had in the end is the same. Make the amount that David had in the end the same. LCM of 1 and 2 is 2.
Total amount that David and Ben had at first
= 4 u + 10 u
= 14 u
14 u = 224
1 u = 224 ÷ 14 = 16
Amount that David had at first
= 10 u
= 10 x 16
= $160
Answer(s): $160
