Question

a store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 6 pounds of jelly beans, the total cost is $23. For 3 pounds of trail kix and 2 pounds of jelly beans, the total cost is $11. Find the cost for each pound of traol mix and each pound of jelly beans

Answer 1

j=$1.75/lb

t=$2.5/lb

Explanation:

(1) 5t+6j=23

(2) 3t+2j=11, t=11/3 - 2j/3

sub t into (1):

5(11/3 - 2j/3) +6j = 23

55/3 -10j/3 +6j =23

8j/3=14/3

8j=14

j=7/4

sub j into t:

t=11/3 -2(7/4)/3

t=5/2