SOLUTION: a number is divided by 3 and then the quotient is added to 18 the result is 25

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Question 166641: a number is divided by 3 and then the quotient is added to 18 the result is 25
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=the unknown number


Translation:

"a number is divided by 3" ----> x%2F3

"the quotient is added to 18" ---> x%2F3%2B18 Note: the quotient the result of the division



So....


"a number is divided by 3 and then the quotient is added to 18 the result is 25" -----> x%2F3%2B18=25



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Solving the equation:


x%2F3%2B18=25 Start with the given equation.


cross%283%29%28x%2Fcross%283%29%29%2B3%2818%29=3%2825%29 Multiply EVERY term by the LCD 3 to clear the fraction.


x%2B54=75 Multiply.


x=75-54 Subtract 54 from both sides.


x=21 Combine like terms on the right side.


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Answer:

So the answer is x=21



So this means that if you divide 21 by 3 you get 7. Add that to 18 and you get 25. So this satisfies the original word problem.