Word Problem with Alegebra

Question

A store is having a sale on jelly beans and trail mix. For 2 pounds of jelly beans and 12 pounds of trail mix, the total cost is $47. For 5 pounds of jelly beans and 3 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

2j + 12t = 47

5j +3t = 23

graph them, use matrix algebra or elimination subsitution

cost of jell beans = j = $2.50

cost of trail mix = t = $3.50

2(2.5) + 12(3.5) = 5 + 42 = 47

5(2.5) +3(3.5) = 12.5 +10.5 = 23