Autumnpollard13
Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Experience the ease of finding precise answers to your questions from a knowledgeable 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 :

sqdancefan

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 appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.