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
+128474 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 ]
