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At a candy store, Lillian bought 4 pounds of jelly beans and 3 pounds of gummy worms for $34. Meanwhile, Kelsey bought 5 pounds of jelly beans and 3 pounds of gummy worms for $38. How much does the candy cost? A pound of jelly beans costs $insert price, and a pound of gummy worms costs $insert price,

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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

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