Answer:
A pound of jelly beans costs $4, and a pound of gummy worms costs $6
Step-by-step explanation:
Let
Cost of one pound of Jelly beans = x
Cost of one pound of Gummy worms = y
Making equations from the statements:
Lillian bought 4 pounds of jelly beans and 3 pounds of gummy worms for $34: [tex]4x+3y=34[/tex]
Kelsey bought 5 pounds of jelly beans and 3 pounds of gummy worms for $38: [tex]5x+3y=38[/tex]
Solving both equations we can found cost of candies.
Let:
[tex]4x+3y=34--eq(1)\\5x+3y=38--eq(2)[/tex]
Subtracting both equations to find value of x
[tex]4x+3y=34\\5x+3y=38\\- \ \ \ - \ \ \ \ -\\------\\-x=-4\\x=4[/tex]
So,we get value of x=4
Now putting value of x in eq(1) to find value of y
[tex]4x+3y=34\\4(4)+3y=34\\16+3y=34\\3y=34-16\\3y=18\\y=18/3\\y=6[/tex]
We get value of y=6
Cost of one pound of Jelly beans = x = 4
Cost of one pound of Gummy worms = y = 6
A pound of jelly beans costs $4, and a pound of gummy worms costs $6
