Answer:
35 days
Step-by-step explanation:
All you need to do is find a fraction that is proportional to the first, with a denominator of 49:
[tex]\dfrac{10}{14} = \dfrac{x}{49}[/tex]
So you all you do is move the 49 to the other side of the equation. How do you do this? Multiply both sides by 49 (cross multiply):
[tex]\dfrac{10\times49}{14}=\dfrac{x\times49}{49}[/tex]
[tex]\dfrac{490}{14}=x[/tex]
[tex]35=x[/tex]
So Teddy will work 35 days out of 49 days.