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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?
 
check_circleAnswer
Step 1
Identify: 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
help_outline

Image Transcriptionclose

Identify: 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

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Step 2
Verify: 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
help_outline

Image Transcriptionclose

Verify: 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

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Math

Algebra

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