A store is having a sale on jellybeans in trail mix. For 2 pounds of jellybeans and 12 pounds of trail mix, the total cost is $23. For 5 pounds of jellybeans and 3 pounds of trail mix, the total cost $17 find the cost for each pound of jellybeans in each pound of trail mix

The jelly beans cost $2.25 / pound

The trail mix costs $1.25 / pound

Step-by-step explanation:

Let +a+ = cost/pound of jelly beans

Let +b+ = cost/pound of trail mix

(1) 6a + 2b =16

(2) 3a + 5b =13

Multiply both sides by 2  

and subtract (1) from (2)

(2) 6a -2b = -16

(1) -6a -2b = -16

8b=10

b=1.25

and

(1) 6a+2b=16

(1) +3a+b=8

(1) 3a+1.25=8

(1) +3a=6.75

(1) a=2.25

$25

step-by-step explanation:

25 - 4.50 = 20.5

20.5 / 2 = 10.25

10.25 + 10 = 20.25

20.25 - 12.50 = 7.75

therefore the answer is $25 as shown as the first number.