Question

Grant is making muffins for a reunion. The recipe for blueberry muffins makes 12 muffins. The recipe for bran muffins makes 18 muffins. He wants to make the same number of each kind of muffin using only full recipes of each. Question 1 Part A What is the least number of each type of muffin Grant can make? Enter the correct answer in the box.

Answer 1

Answer:

To solve this problem, we need to find the least common multiple between 12 and 18.

This is written as:

LCM(12, 18)

And to find this, you can calculate:

LCM(12, 18) = 12*18/GCF(12,18)

Where GCF is the greatest common factor.

To find the greatest common factor let's factorize 12 and 18 in prime numbers:

12 = 2*2*3

18 = 2*3*3

now we can write them as:

12 = 2*(2*3) = 2*6

18 = (2*3)*3 = 6*3

Then the greatest common factor between 12 and 18 is 6.

Now the LCM will be:

12*18/6 = 2*18 = 36.

Then he must make 36 muffins of each type.

This means that he needs to do:

36/12 = 3 batches of blueberry muffins

36/18 = 2 batches of bran muffins.