In a bag of mixed walnuts and cashews, the ratio of the number of walnuts to the number of cashews is 5: 6. Determine the number of walnuts that are in the bag if there are 54 cashews. Use a tape diagram to support your work. Justify your answer by showing that the new ratio you created of the number of walnuts to the number of cashews is equivalent to 5: 6.
Accepted Solution
A:
Answer: There are 45 walnuts in the bag.Step-by-step explanation:Since we have given that Ratio of the number of walnuts to the number of cashew = 5:6Let the number of walnuts be 5x.Let the number of cashews be 6x.Since the number of cashews = 54so, According to question, it becomes,[tex]6x=54\\\\x=\dfrac{54}{6}\\\\x=9[/tex]Hence, the number of walnuts would be [tex]5x=5\times 9=45[/tex]Therefore, there are 45 walnuts in the bag.