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Thank you for visiting A bag of mixed cashews and M Ms contains a total of 330 pieces If there are 5 cashews for every 6 M Ms how. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

A bag of mixed cashews and M&Ms contains a total of 330 pieces. If there are 5 cashews for every 6 M&Ms, how many M&Ms are in the bag?

A) 150
B) 180
C) 200
D) 220

Answer :

Final answer:

To find the number of M&Ms in the bag, set up a proportion using the given ratio. The number of M&Ms is approximately 180.

So, the correct answer is B.

Explanation:

To find the number of M&Ms in the bag, we can set up a proportion using the given ratio. Let x be the number of M&Ms in the bag. The ratio of cashews to M&Ms is 5:6, so we can set up the proportion:

5/6 = (number of cashews)/(number of M&Ms)

Solving for x, we have:

5/6 = (number of cashews)/x

Multiplying both sides of the equation by x, we get:

x * (5/6) = number of cashews

Distributing, we have:

(5/6) * x = number of cashews

Now, we know that there are 330 pieces in total. So, the sum of the number of cashews and the number of M&Ms is 330:

x + number of cashews = 330

Substituting the value of number of cashews from the previous equation, we have:

x + (5/6) * x = 330

Combining like terms:

(6/6) * x + (5/6) * x = 330

Simplifying, we get:

(11/6) * x = 330

Dividing both sides of the equation by 11/6, we get:

x = (330 * 6)/11

Solving for x, we have:

x ≈ 180

Therefore, there are approximately 180 M&Ms in the bag. So, the correct answer is B.

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Rewritten by : Jeany

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