mix number

Question

Hong's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Hong
$4.15
per pound, and type B coffee costs
$5.70
per pound. This month, Hong made
164
pounds of the blend, for a total cost of
$798.40
. How many pounds of type A coffee did he use?

Answer 1

amount of coffee A + amount of coffee B = 164 pounds, or A + B = 164lb

 

then $4.15/lb x A lb + 5.70/lb x  B lb = $798.40

 

solve the first equation for A, and substitute that value into the second equation, then solve the second equation for B

 

once you have the value for B, you will be able to subtract that value from164lb to get A