208k views
1 vote
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.

User Raza Mehdi
by
4.6k points

2 Answers

3 votes

Answer:

45

Explanation:

User Supericy
by
4.6k points
0 votes

Answer: There are 45 walnuts in the bag.

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,


6x=54\\\\x=(54)/(6)\\\\x=9

Hence, the number of walnuts would be


5x=5* 9=45

Therefore, there are 45 walnuts in the bag.

User Oldrinmendez
by
4.6k points