SOLUTION: 3 children share some stickers. Andrew has 1/5 of the stickers. Blaze has 10 more stickers than Andrew. Cadmus has 20 stickers. What is the total number of stickers the 3 children

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: 3 children share some stickers. Andrew has 1/5 of the stickers. Blaze has 10 more stickers than Andrew. Cadmus has 20 stickers. What is the total number of stickers the 3 children       Log On


   

Question 1194986: 3 children share some stickers. Andrew has 1/5 of the stickers. Blaze has 10 more stickers than Andrew. Cadmus has 20 stickers. What is the total number of stickers the 3 children have?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Let x be the total number of the stickers.


Then Andrew has %281%2F5%29x;  Blaze has  %281%2F5%29x%2B10  and Cadmus has 20 stickers.


With it, write the equation for the total

    %281%2F5%29x + %281%2F5%29x%2B10 + 20 = x.


To solve it, multiply both sides by 5

    x + (x+50) + 100 = 5x.


Simplify and find x

    50 + 100 = 5x - x - x

      150    =     3x

        x    =     150/3 = 50.


ANSWER.  In all, there were 50 stickers.

Solved.

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