Please help, guide me through this question,

Raisins selling for $2.00 per pound are to be mixed with peanuts selling for $3.00 per pound. How many pounds of peanuts are needed to produce a 20 pound mixture that sells for $2.75 per pound?

Question

Please help, guide me through this question,

Raisins selling for $2.00 per pound are to be mixed with peanuts selling for $3.00 per pound. How many pounds of peanuts are needed to produce a 20 pound mixture that sells for $2.75 per pound?

anonymous · Answer

first off, if you want 20 pounds at $2.75 a pound the total cost will be $20\times 2.75=\$55.00$

anonymous · Answer

if you put say the number of pounds of peanuts as $x$ then the number of pounds of raisins must be $20-x$ since the total is 20 pounds

anonymous · Answer

then the total cost will be $2(20-x)+3x$ which you know  is 55 so solve 
$$2(20-x)+3x=55$$ for $x$ to get  your result

anonymous · Answer

my teacher advised me that to solve this problem i must use system of equation, how is that so?

anonymous · Answer

@satellite73 i got 15 as my answer , is that correct ?

anonymous · Answer

yes