Question

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 1

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.

Step-by-step 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.