Question

Judy works at a bakery selling unicorn and sparkle cupcakes in a 3:4 ratio. If a total of 350 cupcakes were sold, how many unicorn cupcakes and sparkle cupcakes were sold?

A) 150 unicorn cupcakes and 200 sparkle cupcakes
B) 100 unicorn cupcakes and 250 sparkle cupcakes
C) 200 unicorn cupcakes and 150 sparkle cupcakes
D) 250 unicorn cupcakes and 100 sparkle cupcakes

Answer 1

Using the ratio 3:4 and the total of 350 cupcakes, we find that one part equals 50 cupcakes. Multiplying this by the respective parts of the ratio, we get 150 unicorn cupcakes and 200 sparkle cupcakes. Therefore, the correct answer is A) 150 unicorn cupcakes and 200 sparkle cupcakes.

Step-by-step explanation:

The question asks to determine the number of unicorn cupcakes and sparkle cupcakes sold, given the ratio of 3:4 and a total of 350 cupcakes. To solve this, set up a proportion where the sum of the parts of the ratio (3 + 4 = 7 parts) represents the total number of cupcakes sold. Then, find the value of one part and multiply it by the number of parts for each type of cupcake.

First, calculate the value of one part:

• Total Cupcakes = 7 parts
• 350 cupcakes = 7 parts
• 1 part = 350 cupcakes / 7
• 1 part = 50 cupcakes

Next, calculate the number of each type of cupcake:

• Unicorn Cupcakes = 3 parts = 3 * 50 = 150 unicorn cupcakes
• Sparkle Cupcakes = 4 parts = 4 * 50 = 200 sparkle cupcakes

Therefore, the correct answer is A) 150 unicorn cupcakes and 200 sparkle cupcakes.