Question
The ratio of gummy bears to gummy worms in a bag of candy is 5:4. If there are 160 gummy worms in the bag of candy, how many gummy bears are in the bag of candy? explain it simple
Answers
GPT-4o mini
To find the number of gummy bears when you know the ratio of gummy bears to gummy worms is 5:4, and there are 160 gummy worms, you can follow these steps:
1. **Understand the ratio**: The ratio 5:4 means that for every 5 gummy bears, there are 4 gummy worms.
2. **Set up the relationship**: Let's say the number of gummy bears is \(5x\) and the number of gummy worms is \(4x\), where \(x\) is a common multiplier.
3. **Use the information provided**: You know there are 160 gummy worms, so you can set up the equation:
\[
4x = 160
\]
4. **Solve for \(x\)**:
\[
x = \frac{160}{4} = 40
\]
5. **Find the number of gummy bears**: Now, use the value of \(x\) to find the number of gummy bears:
\[
\text{Number of gummy bears} = 5x = 5 \times 40 = 200
\]
So, there are **200 gummy bears** in the bag of candy.
1. **Understand the ratio**: The ratio 5:4 means that for every 5 gummy bears, there are 4 gummy worms.
2. **Set up the relationship**: Let's say the number of gummy bears is \(5x\) and the number of gummy worms is \(4x\), where \(x\) is a common multiplier.
3. **Use the information provided**: You know there are 160 gummy worms, so you can set up the equation:
\[
4x = 160
\]
4. **Solve for \(x\)**:
\[
x = \frac{160}{4} = 40
\]
5. **Find the number of gummy bears**: Now, use the value of \(x\) to find the number of gummy bears:
\[
\text{Number of gummy bears} = 5x = 5 \times 40 = 200
\]
So, there are **200 gummy bears** in the bag of candy.