A phone company charges $0.06 per minute for local calls and $0.15 per minute for international calls. When your bill comes, it
states that you accumulated 852 minutes with a charge of $69.84. Write and solve a system of linear equations to find the number of local and international minutes used
Let's assume two variables x and y which represent the local and international calls respectively.
x + y = 852 = total number of minutes which were consumed by the company (equation 1) 0.06*x+ 0.15 y =69.84 = total price which was charged for the phone calls (Equation 2) from equation 1:- x=852 -y (sub in equation 2) 0.06 (852 - y) + 0.15 y =69.84
51.12 -0.06 y +0.15 y =69.84 (subtracting both sides by 51.12) 0.09 y =18.74 y= 208 minutes = international minutes (sub in 1) 208+x=852 (By subtracting both sides by 208) x = 852-208 = 644 minutes = local minutes
