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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.

Respuesta :

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 = 5:6

Let the number of walnuts be 5x.

Let the number of cashews be 6x.

Since the number of cashews = 54

so, 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.

Answer:

45

Step-by-step explanation: