SOLUTION: Dan has 4520 pennies in three boxes. He says that there are 3 times as many pennies in the first box as in the third and twice as many in the decline box as in the first. How much

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Question 1050776: Dan has 4520 pennies in three boxes. He says that there are 3 times as many pennies in the first box as in the third and twice as many in the decline box as in the first. How much does he have in each box ?

Answer by advanced_Learner(501)   (Show Source): You can put this solution on YOUR website!
let x be the first box
y be the second box
z be the third box
x+y+z=4520
x=3z
y=2x

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Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=1356.
  • Graphical form: Equation was fully solved.
  • Text form: x+2x+(x/3)=4520 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( x+2x+(x/3)=4520 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around terms highlight_red%28+x%2F3+%29
It becomes .
Look at .
Eliminated similar terms highlight_red%28+x+%29,highlight_red%28+2%2Ax+%29,highlight_red%28+x%2F3+%29 replacing them with highlight_green%28+%281%2B2%2B1%2F3%29%2Ax+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+10+%29,highlight_red%28+1%2F3+%29
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-4520+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+10%2F3%2Ax-4520=0+%29 equivalent to 3.33333333333333*x-4520 =0
It becomes .
Result:
This is an equation! Solutions: x=1356.

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