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 no fractions

Answer 1

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

Since there are 160 gummy worms, we can set up the ratio like this:

1. Determine the number of units for gummy worms based on the ratio. In the ratio 5:4, the number of parts for gummy worms is 4.
2. Since there are 160 gummy worms, we find the value of one unit (one part).

\[ \text{One unit} = \frac{160 \text{ gummy worms}}{4} = 40 \]

3. Now, to find the number of gummy bears, we calculate the total based on the 5 parts in the ratio for gummy bears:

\[ \text{Number of gummy bears} = 5 \text{ parts} \times 40 \text{ (gummy worms per part)} = 200 \]

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