QuestionMika eats 21 hot dogs in 6 minutes. How many minutes $(m)$ for 35 hot dogs at the same pace?

Studdy Solution

STEP 1

Assumptions1. Mika can eat21 hot dogs in6 minutes. She maintains the same eating pace3. She wants to know how many minutes it would take her to eat35 hot dogs

STEP 2

First, we need to find out how many hot dogs Mika eats per minute. We can do this by dividing the number of hot dogs she eats by the time it takes her to eat them.
$Hot\, dogs\, per\, minute = \frac{Number\, of\, hot\, dogs}{Time\, in\, minutes}$

STEP 3

Now, plug in the given values for the number of hot dogs and the time to calculate the hot dogs per minute.
$Hot\, dogs\, per\, minute = \frac{21}{6}$

STEP 4

Calculate the hot dogs per minute.
$Hot\, dogs\, per\, minute = \frac{21}{6} =3.$

STEP 5

Now that we know how many hot dogs Mika eats per minute, we can find out how many minutes it would take her to eat35 hot dogs. We can do this by dividing the number of hot dogs she wants to eat by the number of hot dogs she eats per minute.
$Time\, in\, minutes = \frac{Number\, of\, hot\, dogs}{Hot\, dogs\, per\, minute}$

STEP 6

Plug in the values for the number of hot dogs and the hot dogs per minute to calculate the time in minutes.
$Time\, in\, minutes = \frac{35}{3.5}$

STEP 7

Calculate the time in minutes.
$Time\, in\, minutes = \frac{35}{3.5} =10$ Mika would need10 minutes to eat35 hot dogs.

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