MATH SOLVE

3 months ago

Q:
# A store is having a sale on trail mix and jelly beans. For 2 pounds of trail mix and 3 pounds of jelly beans, the total cost is 13. For 4 pounds of trail mix and 8 pounds of jelly beans, the total cost is $33. Find the cost for each pound of trail mix and each pound of jelly beans.

Accepted Solution

A:

Answer:trail mix: $1.25jelly beans: $3.50 per poundStep-by-step explanation:The difference between double the first purchase and the second purchase is $7 and 2 pounds of jelly beans. Hence a pound of jelly beans is $3.50. (4t +8j) -2(2t +3j) = (33) -2(13) . . . . . let t and j represent pounds of trail mix and jelly beans, respectively 2j = 7 . . . . . . . . . . simplify j = 7/2 = 3.50Using that value in the first purchase, we get ... 2t +3(3.50) = 13 2t = 13 -10.50 t = 2.50/2 = 1.25A pound of trail mix is $1.25.