A store is having a sale on trail mix and jellybeans for 3 pounds of trail mix and 5 pounds of jellybeans the total cost is $23 for 6 pounds of trail mix and 2 pounds of jellybeans the cost is $20 find the cost for each pound of trail mix in each pan of jellybeans

The jelly beans cost $2.25 / pound

The trail mix costs $1.25 / pound

Step-by-step explanation:

I just took the test.

$2.75 and $3.5

Step-by-step explanation:

⇒ 2x+3y=16  →  (1)

For 6 pounds of trail mix and 5 pounds of jelly beans, the total cost is $34.

⇒ 6x+5y=34  →  (2)

Solving (1) and (2), we get

3(1 equation)-(2 equation)=0

⇒ 3(2x+3y-16)-(6x+5y-34)=0

⇒ 4y=14 ⇒ y=3.5

hence,  2x+3(3.5)=16 ⇒ x=2.75  

Hence, the cost for each pound of trail mix and each pound of jelly beans is $2.75 and $3.5 respectively.

1/5^2 = 7.56/45