Question 86123
<pre>
Can you please help me. This question is off of a 
worksheet and is multiple choice. 

Solve the proportion: {{{16/(4d+2)}}} = {{{8/3}}}

The choices are: 

a. 1 11/12
b. 10 1/6
c. 1 1/3
d. 2 2/3 

Thank you for your help.

{{{16/(4d+2)}}} = {{{8/3}}}

Cross multiply:

{{{(16)(3)}}} = {{{8(4d+2)}}}

Multiply and distruibute

     {{{48}}} = {{{32d+16}}}
   
Add -16 to both sides

  {{{48 - 16}}} = {{{32d}}} 

     {{{32}}} = {{{32d}}}

Divide both sides by 32

     {{{32/32}}} = {{{(32d)/32}}}

      {{{1}}} = {{{d}}}

So the answer is {{{d}}} = {{{1}}}

It isn't on your list, so let's check it:

   {{{16/(4d+2)}}} = {{{8/3}}}

 {{{16/(4(1)+2)}}} = {{{8/3}}}

    {{{16/(4+2)}}} = {{{8/3}}} 

      {{{16/6}}} = {{{8/3}}}

Reduce the fraction on the left:

      {{{8/3}}} = {{{8/3}}}

So {{{d=1}}} is the correct answer.

So the worksheet is in error.  Unfortunatelty,
this sort of thing happens sometimes.

Edwin</pre>