  Use the​ five-step strategy for solving word problems to find the number or numbers described in the following exercise.When 40​% of a number is added to the​ number, the result is182.What is the​ number?

Question
Use the​ five-step strategy for solving word problems to find the number or numbers described in the following exercise.When 40​% of a number is added to the​ number, the result is182.
What is the​ number?

Step 1 help_outlineImage TranscriptioncloseIdentify: There is a number whose 40 percent added to itself, gives 182 Assumption: Let the number bex so that 40 percent of x added to x gives 182 Create: The equation becomes x+40% ofx= 182 Solve: The solution is obtained as x+ 40% ofx= 182 x+0.40x 182 1.40x 182 182 130 1.40 fullscreen
Step 2 help_outlineImage TranscriptioncloseVerify: Substitute 130 in the equation and check whether 182 is the result on the left side or not 130+40% of 130 182 40 -x130 182 100 130+ 130+52 182 182 182 As the left hand side of the equation is equal to the right hand side, the solutionx= 130 is verified as correct fullscreen

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Algebra 