It would take 10 gardeners to plant 45 trees in 45 minutes.
It's a math tool for solving problems about proportion. You can relate more than 2 variables and from the proportion, it's possible to find an unknown number.
The question gives:
6 gardeners can plant 18 trees in 30 minutes.
? gardeners can plant 45 trees in 45 minutes.
6 gardeners can plant [tex]\frac{18\; tree}{30\; min}=\frac{3}{5}[/tex] trees/min. You can calculate the second rate from [tex]\frac{45\; tree}{45\; min}=\frac{1}{1}=1[/tex] tree/min.
Write the previous text information in form of proportion.
6 gardeners ----------- 3/5 trees/min
x gardeners ----------- 1 tree/min
Then, applying cross multiplication:
[tex]\frac{3x}{5}=6\\ \\ 3x=30\\ \\ x=10[/tex]
Read more about the rule of three here:
https://brainly.com/question/24514897
