Nick buys 2 brownies, 3 cupcakes, and 5 cookies from the bake sale. Which of the following ratios is equivalent to the ratio of cupcakes to brownies?

Question

2:1
4:6
13:12
24:16

Answer 1

To find the ratio of cupcakes to brownies, we need to look at how many cupcakes Nick bought compared to how many brownies he bought.

Nick bought:

• 3 cupcakes
• 2 brownies

The ratio of cupcakes to brownies is 3:2.

Now let's check which of the given options is equivalent to the ratio 3:2.

1. 2:1 - This simplifies to 2:1, which is not equivalent.
2. 4:6 - This simplifies to 2:3, which is not equivalent.
3. 13:12 - This does not simplify to anything close to 3:2, so it is not equivalent.
4. 24:16 - This simplifies to 3:2 (since 24 ÷ 8 = 3 and 16 ÷ 8 = 2).

Therefore, the correct answer is 24:16.