word problem help

Question

You have one type of chocolate that sells for $2.30/lb and another type of chocolate that sells for $9.50/lb. You would like to have 36 lbs of a chocolate mixture that sells for $9.00/lb. How much of each chocolate will you need to obtain the desired mixture?

___lbs of the cheaper chocolate

___ lbs of the expensive chocolate.

Answer 1

2.3x +9.5(36-x)= 9(36)

7.2x= .5(36)

x=18/7.2=2/.8=2.5 lbs cheap

33.5 lbs expensive

check the answer

2.3(2.5)+9.5(33.5)=5.75+318.25=324

9(36)=324