Question

Please Answer !! A store is having a sale on almonds and jelly beans. For 5 pounds of almonds and 3 pounds of jelly beans, the total cost is $23. For 2 pounds of almonds and 6 pounds of jelly beans, the total cost is $20. Find the cost for each pound of almonds and each pound of jelly beans.

Answer 1

Answer:Let x = number of pounds of jelly beans

y = number of pounds of almonds.

Then, 4x + 8y = 33

2x + 3y = 13

Multiply the second equation by -2 to get the system:

4x + 8y = 33

-4x - 6y = -26

Adding the equations, we get 2y = 7. So, y = 3.5

Substitute for y in either of the given equations: 2x + 3(3.5) = 13

2x + 10.5 = 13

2x = 2.5

x = 1.25