Nick and David had $1505 altogether. After Nick spent
16 of his money and David spent
45 of his money, Nick was left with thrice as much money as David. How much money did David have at first?
| |
Nick |
David |
Total |
| Before |
6x3 =
18 u |
5x5 =
25 u |
$1505 |
| Change |
- 1x3 =
- 3 u |
- 4x5 =
- 20 u |
|
| After |
5x3 =
15 u |
1x5 =
5 u |
|
Comparing Nick
and David in the end |
3x5 =
15 u |
1x5 =
5 u |
|
The amount that Nick had in the end is repeated. Make the amount that Nick had in the end the same. LCM of 5 and 3 is 15.
Total amount that Nick and David had at first
= 18 u + 25 u
= 43 u
43 u = 1505
1 u = 1505 ÷ 43 = 35
Amount that David had at first
= 25 u
= 25 x 35
= $875
Answer(s): $875
