Jamal baked muffins for the school bake sale. He made 12 corn muffins and 15 blueberry muffins. What is the ratio of blueberry muffins to all muffins?
the product of fifty-two and a number c
The Correct Answer and Explanation is:
Final Answer:
The ratio of blueberry muffins to all muffins is: 1527=59\frac{15}{27} = \frac{5}{9}
300-Word Explanation:
To solve this problem, we need to understand the concept of ratios. A ratio is a way to compare two quantities. In this case, we are comparing the number of blueberry muffins to the total number of muffins that Jamal baked.
Jamal made:
- 12 corn muffins
- 15 blueberry muffins
Step 1: Find the total number of muffins.
We do this by adding the number of corn muffins and blueberry muffins together: Total muffins=12+15=27\text{Total muffins} = 12 + 15 = 27
Step 2: Write the ratio of blueberry muffins to total muffins.
The question asks for the ratio of blueberry muffins to all muffins, so we place the number of blueberry muffins in the numerator and the total number in the denominator: Ratio=1527\text{Ratio} = \frac{15}{27}
Step 3: Simplify the ratio.
We can simplify this ratio by dividing both the numerator and the denominator by their greatest common factor (GCF). The GCF of 15 and 27 is 3. 15÷327÷3=59\frac{15 \div 3}{27 \div 3} = \frac{5}{9}
So, the simplified ratio is: 59\boxed{\frac{5}{9}}
This means that out of every 9 muffins Jamal baked, 5 are blueberry muffins. Understanding this ratio helps in dividing or planning quantities for events like bake sales.
Bonus: The product of fifty-two and a number cc
To express “the product of fifty-two and a number cc”, we simply write: 52×cor52c52 \times c \quad \text{or} \quad 52c
This is a mathematical expression showing multiplication between 52 and the variable cc, where cc can represent any number.