the manufacturer of cans of salted mixed nuts state that the ratio of peanuts to other nuts is 4 to 3. If 464 are in a can, find how many other nuts should also be in a can.

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Answer:

198

Step-by-step explanation:

Given that the manufacturer of cans of salted mixed nuts state that the ratio of peanuts to other nuts is 4 to 3.

So, ratio of peanuts to other nuts in a can = 4 : 3

Total number of nuts in a can = 464 nuts   (i)

We need to find number of other nuts in a can.

Let number of peanuts be 4 k where k is a natural number.

Let number of other nuts be 3 k where k is a natural number.

Total number of nuts = 4 k + 3 k = 7 k      (ii)

From (i) and (ii), we get 7 k = 464 which implies [tex]k=\frac{464}{7}[/tex]

So, number of other nuts in a can = [tex]3k=3\times \frac{464}{7}=199[/tex] ( approx. )