Chuck's CheeseHouse makes two types of cheese; mozzarella and parmesan. Mozzarella costs $2.60 per pound and parmesan costs $3.30 per pound. How much parmesan cheese went into making a 60 pound mixture worth $3.10 per pound? Round to the nearest pound.(Points : 1)
17 lbs
23 lbs
43 lbs
37 lbs

Question

Chuck's CheeseHouse makes two types of cheese; mozzarella and parmesan. Mozzarella costs $2.60 per pound and parmesan costs $3.30 per pound. How much parmesan cheese went into making a 60 pound mixture worth $3.10 per pound? Round to the nearest pound.(Points : 1) 
       17 lbs
       23 lbs
       43 lbs
       37 lbs

anonymous · Answer

43 lbs
Let m and p be the pound weight of mozzarella and parmesan cheese respectively.
Solve the following equations for m and p:$$\left\{m+p=60,\frac{26}{10}m+\frac{33 }{10}p=\frac{31}{10}*60\right\}$$$$\left\{m=\frac{120}{7},p=\frac{300}{7}\right\} $$$$\text{Round}\left[\frac{300}{7},1\right]\to 43 $$