Problema Solution

john works two jobs. as a security guard he earns $8.50 per hour. as a landscaper he earns $14.00 per hour. one week john worked a total of 40 hours and earned 411.50. how many hours did he work at each job?

Answer provided by our tutors

let


x = the hours John worked as security guard


y = the hours John worked as landscaper


one week john worked a total of 40 hours:


x + y = 40


and earned 411.50:


8.50x + 14.00y = 411.50


by solving the system of equations:


x + y = 40


8.50x + 14.00y = 411.50


we find:


x = 27 hours


y = 13 hours


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John worked 27 hours as security guard and 13 hours as landscaper.