solve and create a system of equations

Question

Ming sold 8 packages of chocolate chip cookie dough and 12 packages of gingerbread cookie dough for a total of $364. Carlos sold 1 package of chocolate chip cookie dough and 4 packages if gingerbread cookie dough for a total of $93. Find the cost each of one package of chocolate chip cookie dough and one package of gingerbread cookie dough.

Answer 1

8c + 12g = 364

c + 4g = 93

 

I would use substitution. First, solve the 2nd equation for c.

 

c = 93 - 4g

 

Now, substitute 93 - 4g for c in the first equation.

 

8(93 - 4g) + 12g = 364

 

Solve for g, then substitute the answer into the 2nd equation and solve for c.