At a candy store, Jordan bought 2 pounds of jelly beans and 3 pounds of gummy worms for $41. Meanwhile, Isabelle bought 2 pounds of jelly beans and 6 pounds of gummy worms for $68. How much does the candy cost?

Cost of a pound of Jelly beans = x = $7

Cost of a pound of Gummy worms = y = $9

Step-by-step explanation:

Let us represent

Cost of a pound of Jelly beans = x

Cost of a pound of Gummy worms = y

At a candy store, Jordan bought 2 pounds of jelly beans and 3 pounds of gummy worms for $41.

2x + 3y = 41 Equation 1

Meanwhile, Isabelle bought 2 pounds of jelly beans and 6 pounds of gummy worms for $68.

2x + 6y = 68 Equation 2

Combining Equation 1 and 2 together

2x + 3y = 41 Equation 1

2x + 6y = 68 Equation 2

We Subtract Equation 1 from Equation 2, thereby eliminating x

3y = 27

y = 27/3

y = $9

Solving for x

2x + 3y = 41 Equation 1

2x + 3(9) = 41

2x + 27 = 41

2x = 41 - 27

2x = 14

2x/2 = 14/2

x = $7

Therefore, the cost of each candy =

Cost of a pound of Jelly beans = x = $7

Cost of a pound of Gummy worms = y = $9

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

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