algebra word problem

Question

bob bought 5 hotdogs and 3 bags of chips for $14.82 johnny bought 7 hotdogs and 6 bags of chips for $22.89. Find the cost of hotdogs and bags of chips.

Answer 1

5H + 3C = 14.82

10H+6C = 29..64

7H + 6C = 22.89

3H =6.75

H = 6.75/3 = $2.25 per hotdog

3C = 14.82-5(2.25) = 14.82 -11.25 = .3.57

C = 3.57/3 = $.1.19 = for a bag of chips

check the answer

7(2.25) + 6(1.19) = 22.89