Question

A store is having a sale on jelly beans amf trail mi4. For 12 pounds of jelly beans amf 2 pounds of trail mix, the total cost is $47. For 3 pounds of jelly beans and 5 pounds of trail mix, the total cost is $23. Find the cost for each pound of jelly beans and each pound of trail mix.

Answer 1

Let x be the cost of a pound of jelly beans and y be the cost of a pound of trail mix.

In this case, we have:

I) 12*x + y*2 = 47

II) 3*x + 5*y = 23

Multiplying equation II by 4 we got:

I) 12*x + y*2 = 47

II) 12*x + 20*y = 92

Subtracting equation II by equation I, we have:

18*y = 45, which implies y = 2.5

Then, 12*x + 2.5*2 = 47, which implies x = 3.5

Therefore, each pound of jelly beans cost $3.5 and each pound of trail mix cost $2.5