Amanda is baking cupcakes for a birthday party. She bakes 14 chocolate, 18 vanilla, and 6 strawberry cupcakes. Which ratio shows the quantity of the vanilla cupcakes to the total number of cupcakes that Amanda bakes?

Answer 1

To find the ratio of the number of vanilla cupcakes to the total number of cupcakes that Amanda bakes, we first need to calculate the total number of cupcakes.

Amanda bakes:

• 14 chocolate cupcakes
• 18 vanilla cupcakes
• 6 strawberry cupcakes

Now, let's calculate the total:

Total cupcakes = 14 (chocolate) + 18 (vanilla) + 6 (strawberry) = 14 + 18 + 6 = 38 cupcakes

Next, we identify the quantity of vanilla cupcakes, which is 18.

Now, we can set up the ratio of vanilla cupcakes to the total number of cupcakes:

Ratio = Number of vanilla cupcakes : Total number of cupcakes Ratio = 18 (vanilla) : 38 (total)

To simplify this ratio, we can divide both numbers by their greatest common divisor (GCD). The GCD of 18 and 38 is 2.

So, dividing both parts of the ratio by 2:

18 ÷ 2 = 9 38 ÷ 2 = 19

Thus, the simplified ratio of the quantity of vanilla cupcakes to the total number of cupcakes is:

9 : 19

Answer 2

wrong

Answer 3

I apologize for the confusion. Let's re-evaluate the problem step by step to ensure we have the correct ratio.

1. Number of cupcakes baked:

   • Chocolate: 14
   • Vanilla: 18
   • Strawberry: 6

2. Total number of cupcakes: \[ \text{Total} = 14 + 18 + 6 = 38 \]

3. Ratio of vanilla cupcakes to total cupcakes:

   • Quantity of vanilla cupcakes: 18
   • Total number of cupcakes: 38

   Thus, the ratio is: \[ \text{Ratio} = 18 : 38 \]

4. Simplifying the ratio: The GCD of 18 and 38 is 2. \[ \frac{18}{2} = 9 \] \[ \frac{38}{2} = 19 \]

The simplified ratio of vanilla cupcakes to the total number of cupcakes is indeed 9 : 19.

If there was a specific part of the original question or context that I misunderstood or if something was amiss in your interpretation, please clarify, and I'll be glad to assist further.