Problema Solution

Two bags and four hats cost $100 in all. Three bags and seven hats cost $164 in

all. What is the cost of one hat?

Answer provided by our tutors

let


b = the cost of one bag


h = the cost of one hat


Two bags and four hats cost $100 in all:


2b + 4h = 100


Three bags and seven hats cost $164 in all:


3b + 7h = 164


by solving the system of equations:


2b + 4h = 100


3b + 7h = 164


we find:


b = $22


h = $14


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the cost of one hat is $14.