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Please help me, I cannot figure this problem out.
A store is having a sale on Trail mix and jelly beans. For 2 pounds of trail mix and 6 pounds of jelly beans, the cost is $20. For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $23. Find the cost for each pound of trail mix and each pound of jelly beans.

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opudodennis

Answer:

Trail Mix-$3.25/pound

Jelly fish-$2.25/pound

Step-by-step explanation:

let x be the cost of trail mix and y the cost of jelly beans.

-Given that:

[tex]2x+6y=20\ \ \ \ \ \ \ ...i\\\\5x+3y=23\ \ \ \ \ \ \ ...ii[/tex]

We make 3y the subject of the formula in i and substitute in ii:

[tex]2x+6y=20\\\\6y=20-2x\\\\3y=10-x\\\\\#substitute \ 3y \ in \ ii:-\\\\5x+3y=23, 3y=10-x\\\\5x+(10-x)=23\\\\4x=13\\\\x=3.25\\\\3y=10-x\\\\3y=10-3.25\\\\y=2.25[/tex]

Hence, the cost of Trail mix is $3.25 per pound  and the cost of jelly fish is $2.25 per pound

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