Furniture sales- System of Linear Equations Question!?
There are two styles of dining room sets; American and contemporary.. From past experience, it is determined that American styles sold 20% more than the contemporary styles. A profit of $250 is made on each American sets sold whereas a profit of $350 is made on each contemporary set. If management desires a profit of $130,000 how many units of each style should be sold?
I’ll set it up for you and let you solve.
First let’s assign variable names.
Let x = number of american sets, and y = number of contemporary sets.
American sets have a profit of 250, so that gives us 250x.
Contemporary sets have a profit of 350, so that gives us 350y.
The total profit should be 130,000, so that gives us the equation
250x + 350y = 130,000
We can write a second equation from this statement “American styles sold 20% more than the contemporary styles”
That means x = (1.20)y
You now have two equations and two unknowns.
250x + 350y = 130,000
x = 1.20y
Your first step for solving would be to replace x with “1.20y” in the first equation.
Dark American Walnut Lichfield Dining Table Chair Set