Autumnpollard13idn
Answered

Connect with a global community of experts on IDNLearn.com. Ask any question and get a detailed, reliable answer from our community of experts.

The container that holds the water for the football team is 2/5 full. After pouring in 8 gallons of water, it is 2/3 full. How many gallons can the container hold?

Sagot :

Sqdancefanidn

9514 1404 393

Answer:

  30 gallons

Step-by-step explanation:

Let c represent the capacity of the container. Then we have ...

  2/5c + 8 = 2/3c

Multiplying by 15 clears the fractions:

  6c +120 = 10c

  120 = 4c . . . . . . . . subtract 6c

  30 = c . . . . . . . . . . divide by 4

The container can hold 30 gallons.

_____

Additional comment

Often, you are told to "clear fractions" first when solving equations that involve them. Here, you can work directly with the fractions, if you like.

  8 = (2/3c) -(2/5c) = 4/15c . . . . . find the difference of the fractions

  8(15/4) = c = 30 . . . . . . . . . . . . . multiply by its inverse

We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for trusting IDNLearn.com. We’re dedicated to providing accurate answers, so visit us again for more solutions.