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

Answer 1

To find the number of gummy bears in the bag of candy, we can use the given ratio of gummy bears to gummy worms, which is 5:4.

Let \( b \) be the number of gummy bears and \( w \) be the number of gummy worms. According to the ratio:

\[
\frac{b}{w} = \frac{5}{4}
\]

We also know that there are 160 gummy worms in the bag, so we can set \( w = 160 \).

Now we can substitute this value into the ratio equation:

\[
\frac{b}{160} = \frac{5}{4}
\]

To find \( b \), we can cross-multiply:

\[
4b = 5 \times 160
\]

Calculating the right side:

\[
5 \times 160 = 800
\]

Now we have:

\[
4b = 800
\]

Next, divide both sides by 4 to solve for \( b \):

\[
b = \frac{800}{4} = 200
\]

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