![]() How long are the two pieces?Ĭombining the like terms on the left, we get The longer piece should be four times as long as the shorter piece. Therefore, the three workers needed 5 hours for the job.Ĭ) A farmer cuts a 300 foot fence into two pieces of different sizes. Then the total price is calculated as the price per hour \((\$ 12)\) times the number of workers times the number of hours \((3). Solution: We denote the number of hours by \(x\). If the total pay for the job was \(\$ 180,\) then how many hours did the three workers spend on the job? We must add the price increase to the old price.ī) To complete a job, three workers get paid at a rate of \(\$ 12\) per hour. Solution: We calculate the price increase as \(5 \% \cdot \$ 2.40. How much does the loaf of bread cost now, when its price was \(\$ 2.40\) last year? They require to model a given situation in the form of an equation.Ī) Due to inflation, the price of a loaf of bread has increased by \(5 \%\). ![]() The following word problems consider real world applications. We solve for \(x\) by adding 7 on both sides of the equation:Īfter dividing by \(2,\) we obtain the answer \(x=8\) Solution: Adding 9 to a number is written as \(x+9,\) while subtracting 7 from three times the number is written as \(3 x-7\). Find the number.ĭividing both sides by 4 gives the answer: \(x=3\).Į) Adding nine to a number gives the same result as subtracting seven from three times the number. 9 = 3x\nonumber\]ĭ) Multiply an unknown number by five is equal to adding twelve to the unknown number.
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