Tim and Sally sold 395 homes. Tim sold 4 times as many as Sally. How many homes did each sell?

Let x = number of homes Tim sold

Let y = number of homes Sally sold

Then,

x = 4y because Tim sold 4 times as many homes as Sally

and

x + y = 395 because together they sold a total of 395 homes

Now we solve the system of equations by substituting x = 4y into x + y = 395

x + y = 395

(4y) + y = 395

5y = 395

y = 395/5

y = 79

x = 4(79) = 316

So then,

Tim sold 316 homes

Sally sold 79 homes

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