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? make it simple

Answer 1

The ratio of gummy bears to gummy worms is 5:4. This means that for every 5 gummy bears, there are 4 gummy worms.

Given that there are 160 gummy worms, we can set up a proportion to find the number of gummy bears:

1. Since the ratio is 5:4, we can express this relationship as:
\[
\frac{\text{gummy bears}}{\text{gummy worms}} = \frac{5}{4}
\]

2. Let the number of gummy bears be \( x \). We then have:
\[
\frac{x}{160} = \frac{5}{4}
\]

3. Cross-multiply to solve for \( x \):
\[
4x = 5 \times 160
\]
\[
4x = 800
\]

4. Now, divide by 4:
\[
x = \frac{800}{4} = 200
\]

Thus, there are **200 gummy bears** in the bag of candy.