Question

The ratio of nuts to candies in a trail mix is 7:2.Which 2 combinations of candies and nuts could be in the trail mix? A.2 candies and 9 nuts B.6 candies and 21 nuts C.7 candies and 9 nuts D.8 candies and 28 nuts E.14 candies 4 nuts please help

Answer 1

Answer:

The 2 combinations of candies and nuts that could be in the trail mix are:

6 candies and 21 nuts Option B

8 candies and 28 nuts Option D

Step-by-step explanation:

Step 1: write the ratio

Nuts : Candies = 7 : 2

Step 2: Write the ratio of each option and simplify it to the lowest term

Option A:  Candies = 2 and Nuts = 9, ratio of Nuts to candies = 9:2 wrong

Option B:  Candies = 6 and Nuts = 21, ratio of Nuts to candies = 21:6

             3 is a common factor

             21: 6 = 7: 2    Correct

Option C:  Candies = 7 and Nuts = 9, ratio of Nuts to candies = 9:7 wrong

Option D:  Candies = 8 and Nuts = 28, ratio of Nuts to candies = 28:8

             4 is a common factor

             28: 8 = 7: 2    Correct