<u>Let's take this problem step-by-step</u>:
<u>Let's first set up some variables</u>:
- c: # of children
- a: # of adults
<u>Let's examine the information given:</u>
- Elevator can hold a maximum of 1500 pounds
           ⇒ average child is 75 pounds
           ⇒ average adult is 150 pounds
                  ⇒<em> therefore</em>: 
- Elevator can fit no more than 14 people
           ⇒ <em>therefore</em>: 
<u>Let's graph the equations</u>:
  
     ⇒ look at the image attached
<u>The point at which the two graphs intersect:</u>
   ⇒ <em>is the solution that represents the amount of children and adults and </em>
<em>       their combine weight</em>
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<u><em>With the horizontal axis being the # of children and vertical axis being the # of adults</em></u><em>:</em>
<em>  ⇒ the </em><em>solution is 8 children and 6 adults</em>
<em></em>
<u>Answer: 8 children and 6 adults</u>
<u></u>
Hope that helped!
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