Question

If candy mix sells for $2.20 per kilogram. It contains chocolates worth $1.80 per kilogram and other candy worth $3.00 per kilogram. How much of each are in 15 kg of the candy mix?

A) 9 kg of chocolates and 6 kg of other candy
B) 6 kg of chocolates and 9 kg of other candy
C) 7.5 kg of chocolates and 7.5 kg of other candy
D) 10.5 kg of chocolates and 4.5 kg of other candy

Answer 1

There are 6 kg of chocolates and 9 kg of other candy in the 15 kg candy mix.

Step-by-step explanation:

To solve this problem, we can set up a system of equations using the given information. Let's assume that x represents the weight of the chocolates in kilograms, and y represents the weight of the other candy in kilograms. We can set up two equations:

1.80x + 3.00y = 2.20(15) (since the cost per kilogram of the candy mix is $2.20)

x + y = 15 (since the total weight of the candy mix is 15 kg)

Solving this system of equations, we find that x = 6 and y = 9. Therefore, there are 6 kg of chocolates and 9 kg of other candy in the 15 kg candy mix.