To find the number of square yards of tile installed, we can use the equation $674 = $299 + $15x, where x represents the number of square yards. After simplifying the equation, we find that the number of square yards is 25.
To write an equation to find the number of square yards of tile installed, we need to consider the cost of installation and the cost per square yard. Let's call the number of square yards of tile installed 'x'. The equation can be written as:
$674 = $299 + $15x
By subtracting $299 from both sides of the equation, we get:
$375 = $15x
Finally, to find the value of 'x', we divide both sides of the equation by $15:
x = $375 ÷ $15 = 25 square yards