Write and solve a system of equations for each word problem.Define your Variables
An Appliance company sells two types of Microwave ovens.They charge $95 for the GE brand Microwave and $175 for the Kenmore brand microwave.If the company sold 18 microwaves for a total of $2270 last month,how many f each brand did they sell.
+37091 G = GE microwaves sold $ amount = 95 x G
(18-G) = Kenmore uwaves sold $ amount = 175(18-G) the two dollar amounts equal 2270
95G + (175)(18-G) = 2270
95G + 3150 - 175G = 2270
-80 G = -880
G= 11 Number of GE uwaves sold 18-G = 18-11 = 7 Kenmore uwaves sold
+37091 G = GE microwaves sold $ amount = 95 x G
(18-G) = Kenmore uwaves sold $ amount = 175(18-G) the two dollar amounts equal 2270
95G + (175)(18-G) = 2270
95G + 3150 - 175G = 2270
-80 G = -880
G= 11 Number of GE uwaves sold 18-G = 18-11 = 7 Kenmore uwaves sold
+181 G = # of GE brand microwave
K = # of Kenmore brand microwave
System of equations:
95G + 175K = 2270
G + K = 18
Multiply:
95G + 175K = 2270
-95G - 95K = - 1710
Add:
80K = 560
Solve:
K = 7
G + 7 = 18
G = 11
So 11 GE brand were sold and 7 Kenmore brand were sold.
