The total cost of 2 similar television and.5 similar washing machines is 7215. each washing machine costs 216 less than a television. How much do 3 television cost?
Answers
Answer:
Step-by-step explanation:
So what you are supposed to be thinking about in this problem is the "unknowns". What is the question? "How much do 3 televisions cost?" We know how many of each we are buying but we do not know what they cost.
"my answer: 2 television + 5 washing machines = 7215"
You are going in the right direction, but what you want to say is,
(2 televisions)(the cost of a television) + (5 washing machines)(the cost of a washing machine) = 7215
It will be much easier to rename these costs as variables. Let,
x = the cost of a television
y = the cost of a washing machine
Now we have a better looking equation.
2x + 5y = 7215
Now, to solve a system of equations using elimination (or substitution) we are going to need another equation! What else does the problem tell you?
"Each washing machine costs $216 less than a television."
Let's rewrite this using our variables.
the cost of a television - the cost of a washing machine = 216
or
x - y = 216
Awesome! Now we have two equations! So our system of equations is....
2x + 5y = 7215
x - y = 216
Try solving the system using the method of elimination or substitution.