candy dealer equartion

Question

a candy dealer wants to combine jaw breakers selling $2.40 per pound and licorice for 3.90$ per pound to form a 100ib mixture sellng for 3$ per pound what amount of each type should be used ?

Answer 1

mix 60 lbs $2.40 with 40 lbs $3.90 gives 100 lbs $3.00

60(2.4)+40(3.9)=144+156 =300

100(3)=300

2.4x+3.9(100-x)=3(100)

1.5x= 90

x=90/1.5= 60 lbs of $2.40

100-60= 40lbs $3.90

3.9-3=.9

3-2.4=.6

.9/.6=90/60