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?

1 answer

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

The total number of cupcakes is:

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

Total = 14 + 18 + 6 = 38 cupcakes

Now, we can express the ratio of vanilla cupcakes to the total number of cupcakes.

The ratio is:

Vanilla cupcakes : Total cupcakes = 18 : 38

To simplify this ratio, we can find the greatest common divisor (GCD) of 18 and 38, which is 2.

Dividing both terms by 2:

18 ÷ 2 = 9
38 ÷ 2 = 19

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

9 : 19.