A bakery made 92 muffins. 28 of the muffins contained nuts. What is the ratio of the number of muffins with nuts to the number of muffins without nuts?
Question
A bakery made 92 muffins. 28 of the muffins contained nuts. What is the ratio of the number of muffins with nuts to the number of muffins without nuts?
Solution
Sure, here are the steps to solve the problem:
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First, we need to find out how many muffins do not contain nuts. We know the total number of muffins is 92 and 28 of them contain nuts. So, we subtract 28 from 92 to find the number of muffins without nuts.
92 - 28 = 64
So, there are 64 muffins without nuts.
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Now, we need to find the ratio of the number of muffins with nuts to the number of muffins without nuts. This is done by dividing the number of muffins with nuts by the number of muffins without nuts.
28 (muffins with nuts) : 64 (muffins without nuts)
So, the ratio of the number of muffins with nuts to the number of muffins without nuts is 28:64. This ratio can be simplified by dividing both numbers by the greatest common divisor, which is 4.
28 ÷ 4 : 64 ÷ 4 = 7:16
Therefore, the simplified ratio is 7:16.
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