Thread: need help with mixture problems

1. need help with mixture problems

Ground chuck sells for 1.45 per lb
how many lbs of ground round selling for 2.45 per lb should be mixed with 20lbs of ground chuck to obtain a mixture that sells for 2.05 per lb?

what would the formula be to get the answer? THANKS
really need the help

2. Hello, msbulldog2012!

Ground chuck sells for $1.45 per lb. How many lbs of ground round selling for$2.45 per lb
should be mixed with 20 lbs of ground chuck
to obtain a mixture that sells for $2.05 per lb? Let $x$ = lbs of ground round. We have 20 lbs of ground chuck at$1.45 per lb.
. . It is worth: . $20 \times 1.45\:=\:29$ dollars.

We add $x$ lbs of ground round at $2.45 per lb. . . It is worth: . $2.45x$ dollars. The mixture is worth: . $29 + 2.45x$ dollars. .[1] The final mixture is $20 + x$ lbs at$2.05 per lb.
. . It is worth: . $2.05(20 + x)$ dollars. .[2]

We just described the value of the final mixture in two ways!

There is our equation! . . . . $29 + 2.45x \;=\;2.05(20+x)$