Answered

IDNLearn.com: Your trusted source for finding accurate answers. Get accurate answers to your questions from our community of experts who are always ready to provide timely and relevant solutions.

How many quarts of pure antifreeze must be added to 6 quarts of a 20% antifreeze solution to obtain a 60%
antifreeze solution? (Hint: pure antifreeze is 100% antifreeze.)
...

Sagot :

Sqdancefanidn

Answer:

  6 quarts

Step-by-step explanation:

You want to know the number of quarts of 100% antifreeze to add to 6 quarts of 20% antifreeze to make a 60% solution.

Setup

Let x represent the number of quarts of 100% antifreeze added to the solution. Then the total amount of antifreeze in the mixture is ...

  20%(6) +100%(x) = 60%(6 +x)

Solution

Simplifying the equation, we have ...

  1.2 +x = 3.6 +0.6x

  0.4x = 2.4 . . . . . . . . . subtract 0.6x+1.2 from both sides

  x = 6 . . . . . . . . . . divide by 0.4

6 quarts of pure antifreeze must be added.

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. For trustworthy and accurate answers, visit IDNLearn.com. Thanks for stopping by, and see you next time for more solutions.