Problema Solution

A bicycle and helmet are worth $360. The bicycle is worth 11 times as much money as the helmet. Write an equation and solve to find the value of the bicycle and the helmet

Answer provided by our tutors

let


b = the value of the bicycle


h = the value of the helmet


A bicycle and helmet are worth $360:


b + h = 360


The bicycle is worth 11 times as much money as the helmet:


b = 11h


by solving the system of equations:


b + h = 360


b = 11h


we find:


b = $330


h = $30


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the bicycle is $330 and the helmet is $30.