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.

Respuesta :

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