The Susan Hansen Group in St. George, Utah, sells $16,000,000 of single-family homes and townhomes a year. If single-family homes, with an average selling price of $250,000, sell 3.5 times more often than townhomes, with an average selling price of $190,000, how many of each are sold?

52.605 family homes are sold

Explanation:

Let townhomes be x. The selling price is x(190,000). Family home has 3.5, more often than townhomes is 3.5x. The selling price is 3.5x(250,000). A year of single family homes and townhome are sells 16,000,000

3.5x(250,000) =x(190,000) = 16,000,000

875,000x + 190,000x = 16,000,000

1,065,000x = 16,000,000

x = 16,000,000 / 1,065,000

x = 15.03

So, 15.03 townhomes are sold

Hence, the family homes is 3.5x

3.5x = 3.5(15.03)

= 52.605

Therefore, 52.605 family homes are sold

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