Answer:
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
