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Word Problem: The container that holds the water for the football team is 1/6 full. After pouring in 11 gallons of water, it is 2/3 full. How many gallons can the container hold?
 one year ago
 one year ago
Word Problem: The container that holds the water for the football team is 1/6 full. After pouring in 11 gallons of water, it is 2/3 full. How many gallons can the container hold?
 one year ago
 one year ago

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asnaseerBest ResponseYou've already chosen the best response.1
Start by letting x represent the capacity of the container. Now, the question says it starts off as 1/6 full, so what would that be in terms of x?
 one year ago

rosimaryBest ResponseYou've already chosen the best response.1
I guess, i'm not sure. I do not like word problems because they confuse me
 one year ago

asnaseerBest ResponseYou've already chosen the best response.1
Now, the question says it starts off as 1/6 full, so what would that be in terms of x?
 one year ago

asnaseerBest ResponseYou've already chosen the best response.1
correct, although we would usually write that as x/6
 one year ago

asnaseerBest ResponseYou've already chosen the best response.1
Next, it says that 11 gallons was poured in. So if the container currently contains x/6 gallons, and we pour in 11 more gallons, then how many gallons do we have now?
 one year ago

asnaseerBest ResponseYou've already chosen the best response.1
perfect! :) Finally, it says that the container is nor 2/3 full  how much would 2/3 full be in terms of x?
 one year ago

asnaseerBest ResponseYou've already chosen the best response.1
great! so  summarising  we know that at the end of all this, the container contains x/6 + 11 gallons, and we also know that it is 2/3 full so it contains 2x/3 gallons. So all we need to do now is to equate the two expressions to get:\[\frac{x}{6}+11=\frac{2x}{3}\]and solve for x.
 one year ago

asnaseerBest ResponseYou've already chosen the best response.1
you're way ahead of me! :)
 one year ago

rosimaryBest ResponseYou've already chosen the best response.1
the container can hold 22 gallons of water. x=22
 one year ago

asnaseerBest ResponseYou've already chosen the best response.1
The easiest way to solve fractional expressions is to try and first get rid of the fractions. So, notice that if you multiply both sides of this equation by 6 then you can get rid of the fractions.
 one year ago

asnaseerBest ResponseYou've already chosen the best response.1
yes  you are right  well done! :D
 one year ago

rosimaryBest ResponseYou've already chosen the best response.1
Thank you so much for the step by step help. It helps me understand the problem.!
 one year ago
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