A store is having a sale on trail mix and jelly beans. For 7 pounds of trail mix and 5 pounds of jelly beans, the total cost is $35. For 5 pounds of jelly beans and 3 pounds of trail mix , the total cost is $19. Find the cost for each pound of trail mix and each pound of jelly

Guest Mar 23, 2020

#1**+2 **

Call the cost per pound of trail mix , T

Call the cost per pound of jelly beans, J

So we have these equations

7T + 5J = 35

3T + 5J = 19 subtract the second equation from the first

4T = 16 divide both sides by 4

T = 4 [dollars per pound]

And

7(4) + 5J = 35

28 + 5J =35

5J = 35 - 28

5J = 7

J = 7/5 = 1 + 2/5 = 1.40 [ dollars per pound ]

CPhill Mar 23, 2020