Word Problem How Many Homes Did They sell

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

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

May 16th, 2015

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

May 16th, 2015

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