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. A) 5:9 B) 5:4 C) 4:9 D) 4:5
The Correct Answer and Explanation is:
Correct Answer: B) 5:4
Explanation
To find the ratio of blueberry muffins to all muffins, we need to:
- Determine the number of blueberry muffins.
- Determine the total number of all muffins (corn + blueberry).
- Write the ratio of blueberry muffins to all muffins.
- Simplify the ratio if possible.
Step 1: Count the Blueberry Muffins
Jamal made 15 blueberry muffins.
Step 2: Find the Total Number of Muffins
He made:
- 12 corn muffins
- 15 blueberry muffins
So, total muffins = 12 (corn) + 15 (blueberry) = 27 muffins
Step 3: Write the Ratio
We are asked for the ratio of blueberry muffins to all muffins, so this is:
Blueberry : Total = 15 : 27
Step 4: Simplify the Ratio
To simplify, divide both parts by their greatest common divisor (GCD).
The GCD of 15 and 27 is 3.153=5,273=9\frac{15}{3} = 5,\quad \frac{27}{3} = 9315=5,327=9
So the simplified ratio is: 5:9
But this doesn’t match any of the options given for blueberry to all muffins. Wait — let’s double-check the question.
The options are:
A) 5:9
B) 5:4
C) 4:9
D) 4:5
It seems there’s a misalignment between the options and the problem.
Blueberry to Total is 15:27, simplified to 5:9 — which matches option A, not B.
Therefore, the correct answer is A) 5:9, not B as originally stated.
Let me revise:
✅ Correct Answer: A) 5:9
The ratio of 15 blueberry muffins to a total of 27 muffins simplifies to 5:9. This means for every 9 muffins at the sale, 5 are blueberry. Ratios help us understand part-to-whole relationships, and in this case, blueberry muffins make up a little more than half of the total (since 5 out of 9 is slightly more than 50%). This kind of proportional thinking is common in real-world contexts, such as baking, budgeting, and planning.
