anonymous
  • anonymous
The container that holds the water for the football team is 1/3 full. After pouring out 6 gallons of water, it is 1/9 full. How many gallons can the container hold?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
phi
  • phi
think like this: let "x" be the number of gallons when full. How many gallons in the container when 1/3 full? you write x/3 (that means we divide the number of gallons by 3)
anonymous
  • anonymous
alright..
phi
  • phi
now pour out 6 that is like "subtracting" x/3 - 6

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

phi
  • phi
what we now have is it is 1/9 full. any idea how to write that using x?
anonymous
  • anonymous
=x/9?
phi
  • phi
yes. we have \[ \frac{x}{3} - 6 = \frac{x}{9} \] now we switch from "what is going on mode" to "algebra mode" to solve I would multiply both sides (and all terms) by 9 (this will get rid of the fractions)
anonymous
  • anonymous
if i do x/3-6=x/9 then x would equal 27
phi
  • phi
the point of doing this is not the answer, it is how you get the answer.
anonymous
  • anonymous
okay so I would multiply each side by 9 and get rid of things then it would be 3 multiplied by 9
phi
  • phi
like this \[ 9 \cdot \frac{x}{3} - 9 \cdot 6 = 9 \frac{x}{9} \]
anonymous
  • anonymous
so then because it equals 27 (3 times 9 does) would i subtract 6 and have the answer of 21?
phi
  • phi
the first term \[ 9\cdot \frac{x}{3} \] or \[ \frac{9 \cdot x}{3} \] you can divide 3 into 9
phi
  • phi
or, 9/3 is ?
anonymous
  • anonymous
wouldnt it be 9 times x/3
phi
  • phi
yes 9 times x/3 which you write as \[ 9 \cdot \frac{x}{3} \] or \[ \frac{9\cdot x}{3} \] or \[ \frac{9}{3} \cdot x \] all different ways of writing the same thing. but the important part is it means you can divide 3 into 9
phi
  • phi
Is this confusing? If it is , it is worth figuring it out, because algebra uses this a *lot*
anonymous
  • anonymous
yes im super confused
phi
  • phi
If you have time, you can learn the idea You know how to figure out \[ \frac{4}{2} \] = 2 right?
phi
  • phi
4 is the same as 2*2 so we could write the problem as \[ \frac{2\cdot 2}{2} \] and we know the answer is still 2
phi
  • phi
or , another example, \[ \frac{30}{5} = \frac{2\cdot 3\cdot 5}{5} \] if you divide 5/5 you get \[ \frac{2\cdot 3\cdot \cancel{5}}{\cancel{5}} = \frac{2\cdot 3}{1}= 6\]
phi
  • phi
and you know 30/5 = 6 we got the correct answer. we use that same trick with \[ \frac{9 x}{3} = \frac{3 \cdot 3 \cdot x}{3} \] or, using the trick \[ \frac{\cancel{3} \cdot 3 \cdot x}{\cancel{3}} = \frac{3x}{1} = 3x\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.