Question

In a bag of mixed cashews the ratio of the walnuts to the number of cashews is 5:6 Determine the number of walnuts that are in the bag if there are 54 cashews.

Answer 1

By using the given ratio of 5:6 for walnuts to cashews and knowing that there are 54 cashews in the bag, we calculate that there are 45 walnuts in the bag.

Step-by-step explanation:

The question involves a ratio problem where we are given the ratio of walnuts to cashews in a bag and we need to find out how many walnuts there are if we have 54 cashews. The ratio of walnuts to cashews is given as 5:6.

To solve this, we set up a proportion where 5 parts represent walnuts and 6 parts represent cashews. We use the information that there are 54 cashews, so 6 parts equal to 54 cashews. To find out 1 part, we divide 54 cashews by 6 parts.

54 cashews / 6 = 9 cashews per part

Now, we can determine how many cashews are in 5 parts (the number of parts that represent walnuts)

9 cashews per part * 5 parts = 45 walnuts

Therefore, there are 45 walnuts in the bag.