Question
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?
2:1
4:6
13:12
24:16
Answers
GPT-4o mini
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**.
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**.