A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11. For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23 . Find the cost for each pound of jelly beans and each pound of trail mix.

the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75

Step-by-step explanation:

Given A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11. For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23 . We have to find the cost for each pound of trail mix and each pound of jelly beans.

Let the cost of each pound of trail mix is $y.

and  the cost of each pound of jelly beans is $x.

According to question,

For   3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11.

⇒  →  (1)

For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23

⇒  →  (2)

Solving (1) and (2), we get

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

⇒

⇒

hence,

⇒

⇒

Putting in    we get ;

⇒  

⇒  

⇒  

⇒  

Hence, the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75 .

step-by-step explanation:

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9 x 8 divided by (5-3)=36