A store is having a sale on jelly beans and trail mix. For 7 pounds of jelly beans and 9 pounds of trail mix is a total of $42. For 5 pounds of jelly beans and 3 pounds of trail mix is a total of $24. Find the cost for each pound of jelly beans and each pound of trail mix?

One pound of jelly beans costs $3.75.

One pound of trail mix costs $1.75.

Step-by-step explanation:

Let be equal to one pound of jelly beans.

Let be equal to one pound of trail mix.

1) Form equations

We're given:

7 pounds of jelly beans + 9 pounds of trail mix = $42

⇒

5 pounds of jelly beans + 3 pounds of trail mix = $24

⇒

Now, we have our two equations:

2) Solve for x using elimination

Multiply the second equation by 3 to change 3y to 9y:

Subtract the first equation from the second to eliminate y:

Divide both sides by 8 to isolate x:

Therefore, one pound of jelly beans costs $3.75.

2) Solve for y using substitution

Now, we know that x=3.75. Plug this value into one of the equations and solve for y:

Therefore, one pound of trail mix costs $1.75.

I hope this helps!

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step-by-step explanation:

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