Question

PLEASE ANSWER!! A store is having a sale on jelly beans and trail mix. For 2 pounds of jelly beans and 6 pounds of trail mix, the total cost is $22. For 5 pounds of jelly beans and 3 pounds of trail mix, the total cost is $16. Find the cost for each pound of jelly beans and each pound of trail mix.

Answer 1

Step by step equation

Answer 2

Answer:

1 pound of jelly is 5/4$ or 1.25$ and 1 pound of trail mix is 2$

Step-by-step explanation:

x - pounds of jelly beans, y - pounds of trail mix

You have to sum them up to get price thats asked for (logic) so...

2x+6y=22

5x+3y=16 /(-2)

now you have to elinate one because both constants (x,y) are unknown so we multiply the bottom equesion by (-2) and we get..

2x+6y=22

-10x-6y=-32

now we sum them up and there is only one constant unknown

-8x=-10

x=10/8 /:2

x=5/4

2*5/4+6y=22 // the 2 in neutralized with 4 and 4 is devide so we o ly have 2

5/2+6y=22 /:2

5+3y=11

3y=6

y=6/3

y=2