Question

Regular M&Ms cost 60 cents per pound. If I want to mix them with 10 pounds of Peanut M&Ms that cost 80 cents per pound to create a Holiday Mixture that costs 75 cents per pound, how much of the 60 cent candy must I use?

A) 5 pounds of the 60 cent candy
B) 7.5 pounds of the 60 cent candy
C) 10 pounds of the 60 cent candy
D) 15 pounds of the 60 cent candy
E) 20 pounds of the 60 cent candy
It will take ------ pounds of 60 cent candy.

Answer 1

Approximately 3.33 pounds of the 60 cent candy needs to be used to create the Holiday Mixture.

Step-by-step explanation:

To find out how much of the 60 cent candy needs to be used, we can set up an equation based on the given information.

Let the amount of 60 cent candy used be x pounds. The total cost of the 60 cent candy would then be 0.60x dollars.

The total cost of the mixture would be 10 pounds of Peanut M&Ms at 0.80 dollars per pound plus x pounds of the 60 cent candy at 0.60 dollars per pound, which would be 80 cents per pound. This would give us the equation:

10 * 0.80 + x * 0.60 = (10 + x) * 0.75

Simplifying the equation, we get:

8 + 0.60x = 7.5 + 0.75x

Subtracting 0.60x from both sides:

8 = 7.5 + 0.15x

Subtracting 7.5 from both sides:

0.5 = 0.15x

Dividing both sides by 0.15:

x = 3.33

Therefore, it will take approximately 3.33 pounds of the 60 cent candy to create the Holiday Mixture.