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Anita can paint 25 wooden slats in 5.5 hours. If she continues to
work at the same speed without any breaks, how many slats can
she paint in 9.9 hours?

Answer :

Hello!

25 wooden ..... 5.5 hours

x wooden ..... 9.9 hours

_____________________

25/x = 5.5/9.9

25 × 9.9 = x × 5.5

247.5 = x × 5.5

x × 5.5 = 247.5

x = 247.5 : 5.5

x = 45 wooden

Good luck! :)

Answer:

45

Step-by-step explanation:

In questions such as these it is implied Anita can and does work at a constant rate. Therefore, we can set up the following proportion:

[tex]\frac{25}{5.5}=\frac{x}{9.9}[/tex], where [tex]x[/tex] represents the number of wooden slats she can paint in 9.9 hours.

Multiplying both sides by 9, we get:

[tex]x=\frac{9.9\cdot 25}{5.5},\\x=\boxed{45}[/tex]

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