mix custom-printed M&M costing 60 cents per ounce with bulk M&M costing 25 cents per ounce to create 20 lb of a mixture costig 32 cents per ounce.

Question

Just need help setting up the equations for this word problem.

custom- printed 60 cents per ounce with bulk m&m cost 25 cents

create 20 lb cost 30 cents.

How much should she use?

Answer 1

Let C = ounces of custom M&M

Let B = ounces of bulk M&M 

 

20 lb mixture * (16 ounces/lb) = 320 ounces total  ==>  C + B = 320

 

You want the 320 ounce total to cost 32 cents per ounce  ==>  total cost is 

320 ounces * (32 cents / ounce) = 10240 cents

 

The total cost of a mixture of C ounces of custom M&Ms and B ounces of bulk M&Ms is

60*C + 25*B 

 

Since you want this to equal 10240, the 2nd equation is 

 

60*C + 25*B = 10240