Answer:
a. 2n = 3n − 12, 12
Step-by-step explanation:
Let the number be represented by n.
Then 2 times the number is 2*n = 2n
3 times the number = 3*n = 3n
12 minus 3 times the number is 3n-12
It is given that 2 times the number is the same as 12 minus 3 times the number.
Expressing this equation form:
![\[2n=3n-12\]](https://tex.z-dn.net/?f=%5C%5B2n%3D3n-12%5C%5D)
Solving the equation,
![\[3n-2n=12\]](https://tex.z-dn.net/?f=%5C%5B3n-2n%3D12%5C%5D)
![\[=> n=12\]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%20n%3D12%5C%5D)
Hence the required number is 12.
B because you are looking for an equation in the problem so if it starts at 16 and you are adding 2 gallons per hour you get 16+2x. Then for the other tank you start with 20 gallons and you are loosing 3 gallons per hour so you get 20-3x. To solve the equation you make them = each other so then you have 16+2x=20-3x.
I'm going to round these numbers to make them easier to work with. We will get an approximate answer.
<span>350 / 2000 </span>
<span>= 35 / 200 </span>
<span>= 3.5 / 20 </span>
<span>= 0.35 / 2 </span>
<span>= 0.175
answer is 0.175</span>
