PLEASE HELP ME

Question

A store is having a sale on jelly beans and almonds. For
4
pounds of jelly beans and
8
pounds of almonds, the total cost is
$33
. For
2
pounds of jelly beans and
3
pounds of almonds, the total cost is
$13
. Find the cost for each pound of jelly beans and each pound of almonds

Answer 1

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

 

ANSWER:  a pound of jelly beans costs $1.25 and a pound of                                almonds costs $3.50.