Problema Solution
last year you could get a hamburger, cola , and fries for $2.60. since the price of the hamburger has increased by 20%, the price of fries has increased by 30% and the price of cola has increased 60%, the same meal now costs $3.51. if the price of the cola is now 16 cents more than that of a hamburger , what was the price of each item last year ?
Answer provided by our tutors
let
h = the price of hamburger last year
c = the price of cola last year
f = the price of fries last year
last year you could get a hamburger, cola , and fries for $2.60
h + c + f = 2.60
since the price of the hamburger has increased by 20%, the price of fries has increased by 30% and the price of cola has increased 60%, the same meal now costs $3.51
0.20h + 0.60c + 0.30f = 3.51 multiply both sides by 100
20h + 60c + 30f = 351
the price of the cola is now 16 cents = $0.16 more than that of a hamburger
c = h + 0.16
by solving the system of equations
h + c + f = 2.60
20h + 60c + 30f = 351
0.60c = 0.20h + 0.16
we find that the system has no solutions thus the problem has no solutions.
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