Question

Michael uses a blend of dark chocolate and milk chocolate to make his ice cream topping us restaurant he needs to buy 100 kg of chocolate in total for his next order. Dark chocolate cost $12 per kilogram, milk chocolate cost $10 per kilogram, and he wants to spend $1120 total. Let do you be the number of kilograms of dark chocolate he buys in MB the number of kilograms of milk chocolate he buys

Answer 1

d + m = 100

12d + 10m = 1120

Explanation:

d = number of kilograms of dark chocolate

m = number of kilograms of milk chocolate

He buys a total of 100 kg.

The first equation is based on amounts (numbers of kg).

d + m = 100

He buys a total of $1120 of both chocolate types.

d kg of dark chocolate cost 12d.

m kg of milk chocolate cost 10m.

The total cost of the chocolate is 12 + 10m.

The total cost of the chocolate is $1120.

The second equation is based on costs.

12d + 10m = 1120

The system of equations is:

d + m = 100

12d + 10m = 1120