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) About Me  (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
x%2B2x%2Bx%2F3=4520
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=1356.
  • Graphical form: Equation x%2B2x%2B%28x%2F3%29=4520 was fully solved.
  • Text form: x+2x+(x/3)=4520 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+x%2B2x%2B%28x%2F3%29=4520+%29
    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 x%2B2%2Ax%2Bhighlight_red%28+%28x%2F3%29+%29=4520.
Remove unneeded parentheses around terms highlight_red%28+x%2F3+%29
It becomes x%2B2%2Ax%2Bhighlight_green%28+x%2F3+%29=4520.
Look at highlight_red%28+x+%29%2Bhighlight_red%28+2%2Ax+%29%2Bhighlight_red%28+x%2F3+%29=4520.
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 highlight_green%28+%281%2B2%2B1%2F3%29%2Ax+%29=4520.
Look at %28highlight_red%28+1+%29%2Bhighlight_red%28+2+%29%2Bhighlight_red%28+1%2F3+%29%29%2Ax=4520.
Added fractions or integers together
It becomes %28highlight_green%28+10%2F3+%29%29%2Ax=4520.
Look at highlight_red%28+%28highlight_red%28+10%2F3+%29%29%2Ax+%29=4520.
Remove unneeded parentheses around factor highlight_red%28+10+%29,highlight_red%28+1%2F3+%29
It becomes highlight_green%28+10+%29%2Fhighlight_green%28+3+%29%2Ax=4520.
Look at 10%2F3%2Ax=highlight_red%28+4520+%29.
Moved these terms to the left highlight_green%28+-4520+%29
It becomes 10%2F3%2Ax-highlight_green%28+4520+%29=0.
Look at highlight_red%28+10%2F3%2Ax-4520+%29=0.
Solved linear equation highlight_red%28+10%2F3%2Ax-4520=0+%29 equivalent to 3.33333333333333*x-4520 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=1356.

Universal Simplifier and Solver


Done!