Question 1015424
x = number of single family homes.
y = number of town homes


250,000 * x + 190,000 * y = 16,000,000


this equation says that x number of single family homes, selling at 250,000 each, plus y number of town homes, selling at 190,000 each, total 16,000,000 in sales.


you are given that single family homes sell 3.5 times as much as town homes.


since x = number of single family homes sold and y = number of town homes sold, then your equation becomes:


x = 3.5 * y.


that equation says that the number of single family homes sold is 3.5 times the number of town homes sold.


in the equation of 250,000 * x + 199,000 * y = 16,000,000, replace x with 3.5 * y to get:


250,000 * x + 190,000 * y = 16,000,000 becomes:


250,000 * 3.5 * y + 190,000 * y = 16,000,000.


simplify to get 875,000 * y + 190,000 * y = 16,000,000.


combine like terms to get 1,065,000 * y = 16,000,000.


divide both sides of this equation to get y = 16,000,000/1,065,000 = 15.02347418.


since x = 3.5 * y, then y = 52.58215962.


they sold 15.02347418 town homes and 52.58215962 single family homes.


15.02347418 * 190,000 + 52.58215962 * 250,000 = 16,000,000.


round off to the nearest integer and you get:


15 town homes were sold and 53 single family homes were sold.


15 * 190,000 + 53 * 250,000 = 16,235,000 total dollars in sales.