Question 227110
There are 80 bins that hold 1600 tons. Some bin hold 20 tons and some hold 25 tons. how many of each bin is needed to hold 1600 tons?


Step 1.  Let x be the number of 20 ton bins


Step 2.  Let 80-x be the number of 25 ton bins since there are a total of 80 bins.


Step 3.  Let 20x be the amount held by 20-ton bins


Step 4.  Let 25(80-x) be the amount held by 25-ton bins


Step 5.  Then {{{20x+25(80-x)=1600}}} be the total amount. Or {{{20x+2000-25x=1600}}}.  Simplifying yields:  {{{2000-5x=1600}}}


Step 6.  Solving {{{20x+2000-25x=1600}}} yields the following steps


Add 5x-1600 to both sides of the equation


{{{20x+2000+5x-1600=1600+5x-1600}}}


{{{400=5x}}}


Divide by 5 to bth sides of the equation


{{{400/5=5x/5}}}


{{{80=x}}}  and {{{80-x=0}}}


Step 7.  ANSWER:  There are 80 20-ton bins and 0 25-ton bins to hold a total of 1600 tons.


I hope the above steps were helpful.


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