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

1 answer

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.