Question

Mika can eat 212121 hot dogs in 666 minutes. She wants to know how many minutes (m)(m)(, m, )it would take her to eat 353535 hot dogs if she can keep up the same pace. How many minutes would Mika need to eat 353535 hot dogs?

Answer 1

Answer:

10 minutes

Explanation:

Mika can eat 21 hot dogs in 6 minutes and she wants to know how many minutes it will take her to eat 35 hot dogs.

This is a problem that can be used establishing a ratio. We know that she can eat 21 hot dogs in 6 minutes, therefore her ratio would be: $\frac{21}{6}$

Now if she wants to know how many minutes it will take her to eat 35 hot dogs we can establish another radio where x will be the number of minutes it will take her: $\frac{35}{x}$

Since the problem tells us that she can keep up the same pace when eating the 35 hot dogs, we can make those two radios equal to one another and solve for x:

$\frac{21}{6} = \frac{35}{x}\\x=\frac{35(6)}{21} \\x= \frac{210}{21} \\x= 10$

Thus, it will take her 10 minutes to eat 35 hot dogs.