To determine how many roses Juan sold, let's go through the problem step by step.
1. Identify the total money made: Juan made a total of [tex]$51.
2. Identify the price per rose: Each rose is sold for $[/tex]3.
3. Set up the calculation: To find out how many roses Juan sold, we need to divide the total amount of money made by the price per rose.
4. Perform the division:
[tex]\[
\text{Number of roses sold} = \frac{\text{Total money made}}{\text{Price per rose}}
\][/tex]
Substituting the given values:
[tex]\[
\text{Number of roses sold} = \frac{51}{3}
\][/tex]
Which simplifies to:
[tex]\[
\text{Number of roses sold} = 17
\][/tex]
Therefore, Juan sold 17 roses.