36 * 45 = 1620.
The greatest number of boxes in each pack is 1620.
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First we have to setup system of equations for the given case.
Let x is the original number and y is the reverse three digit number.
Then,
x+y=665 Equation 1
x-y=297 Equation 2
Add both equations to get.
2x=962
Divide both sides by 2.
x=481
This is the original number. And reverse number is : 481+y=962
y=184
Here Hundredth digit is 4, and tenth digit is 8 which is 2 times of the hundredth digit.
Answer: Number is 481
<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>
<em />
<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!
<em />
Substitue y with the first equation.
x+3=2x+5 (Subtract x on the left sides from both sides.)
3=x+5 (Subtract 5 from both sides.)
x=-2
The student answered 21 questions correctly to earn an 85