Answer:
10 pounds of candy worth $1.20 per pound should be mixed with 40 pounds of candy worth 95¢ per pound
Step-by-step explanation:
Let
x ----> pounds of candy worth at $1.20 a pound
y ----> pounds of candy worth at 95¢ a pound
we know that
The pounds of candy worth at $1.20 a pound plus the pounds of candy worth at 95¢ a pound must be equal to 50 pounds of candy worth a dollar a pound
so
The linear equation that represent this situation
[tex]1.20x+0.95y=50[/tex] ----> equation A
[tex]x+y=50[/tex] ----> equation B
solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
using a graphing tool
The solution is the point (10,40)
see the attached figure
therefore
10 pounds of candy worth $1.20 per pound should be mixed with 40 pounds of candy worth 95¢ per pound
