Andy and David had $1026 altogether. After Andy spent
14 of his money and David spent
56 of his money, Andy was left with five times as much money as David. How much money did David have at first?
| |
Andy |
David |
Total |
| Before |
4x5 =
20 u |
6x3 =
18 u |
$1026 |
| Change |
- 1x5 =
- 5 u |
- 5x3 =
- 15 u |
|
| After |
3x5 =
15 u |
1x3 =
3 u |
|
Comparing Andy
and David in the end |
5x3 =
15 u |
1x3 =
3 u |
|
The amount that Andy had in the end is repeated. Make the amount that Andy had in the end the same. LCM of 3 and 5 is 15.
Total amount that Andy and David had at first
= 20 u + 18 u
= 38 u
38 u = 1026
1 u = 1026 ÷ 38 = 27
Amount that David had at first
= 18 u
= 18 x 27
= $486
Answer(s): $486
