12/31/2023 0 Comments X word problems![]() ![]() What are we asked to solve for Assign a variable to the unknown quantity, for example, (x). Problem solving strategy (EMA3F) Read the whole question. The solution of the equations is then the solution to the problem. Solution: We denote the weight of a block by \(x. 4.5 Word problems (EMA3D) To solve word problems we need to write a set of equations that represent the problem mathematically. Therefore, the shorter piece has a length of 60 feet, while the longer piece has four times this length, that is \(4 \times 60\) feet \(=240\) feet.ĭ) If 4 blocks weigh 28 ounces, how many blocks weigh 70 ounces? We need to find the inequality formula to find the length. How long are the two pieces?Ĭombining the like terms on the left, we get Ans: In this question, we are required to find out the possible length of the farm. 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? You can replace the x with whatever variable you are using. 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. Learn how to write and solve equations based on Algebra word problems. 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 \(x=8\) If you get four dollars less an hour than (an unknown worker), you wouldn't subtract that worker's pay from 4 instead, you'd subtract 4 from that worker's pay: p 4. If you're not sure of this, plug numbers in. Solution: Adding 9 to a number is written as \(x+9,\) while subtracting 7 from three times the number is written as \(3 x-7\). x 4 To be clear, 'four less than (the unknown)' in English means ' (the unknown), less four' in algebra. 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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