Problema Solution

Kyle is a salesman. His monthly earnings include a fixed monthly salary and a commission that is a fixed percentage of his total sales for the month. Kyle's sales for the month of January were $15,000 and his total earnings for that month were $2550. Kyle's total sales for the month of February were $25,000 and his total earnings for that month were $3,050. What is Kyle's fixed monthly salary in dollars?

Answer provided by our tutors

let


x = the fixed monthly salary of Kyle

p = the fixed percentage of his total sales


Kyle's sales for the month of January were $15,000 and his total earnings for that month were $2550


x + p*15000 = 2550


Kyle's total sales for the month of February were $25,000 and his total earnings for that month were $3,050


x + p*25000 = 3050


by solving the system of equations


x + p*15000 = 2550

x + p*25000 = 3050


we find


x = $1,800


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Kyle's fixed monthly salary is 1,800 dollars.