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A caterer makes 6 pounds of trail mix consisting of peanuts and chocolate candies for an event. The caterer has 3 pounds of peanuts already, and each bag of chocolate candies weighs 0.75 pounds. The equation models this relationship.

A) 3p + 0.75c = 6
B) 3p - 0.75c = 6
C) 3p + 0.75c = 9
D) 3p - 0.75c = 9

1 Answer

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Final answer:

The equation that models the relationship between the amount of peanuts and chocolate candies in the trail mix is 3p + 0.75c = 6.

The answer is option ⇒a

Step-by-step explanation:

The equation that models the relationship between the amount of peanuts (p) and the amount of chocolate candies (c) in the trail mix is 3p + 0.75c = 6. So, the correct option is A) 3p + 0.75c = 6.

To understand why this is the correct equation, let's break it down:

  • - The caterer already has 3 pounds of peanuts, so we start with 3p.
  • - Each bag of chocolate candies weighs 0.75 pounds. Since we don't know the number of bags, we represent it as 0.75c.
  • - The total weight of the trail mix is 6 pounds, hence the right side of the equation is 6.

We add 3p and 0.75c together to equal 6, because the caterer wants to have a total of 6 pounds of trail mix. Therefore, the equation that models this relationship is 3p + 0.75c = 6.

The answer is option ⇒a

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