A barrel holds 4 quarts of tar and 4 quarts of turpentine. How many quarts of turpentine must be added to the container to create a mixture that is 3 parts tar to 5 parts turpentine by volume? Choose the correct option
A) 4/3 B) 5/3 C) 7/3 D) 8/3 E) 10/3
An alternate to the alligation method is the more direct/algebraic method:   Let x be the amount of turpentine to be added.   New total amount of turpentine = 4+x   Total amount of tar= 4   New total = 4+4+x=8+x   Final ratio required (for turpentine) = 5/(5+3)=5/8   Thus, (4+x)/(8+x) = 5/8 --&gt; solving for x you get x = 8/3.   8/3 is thus the correct answer.
<result>D</result>
A barrel holds 4 quarts of tar and 4 quarts of turpentine. How many quarts of turpentine must be added to the container to create a mixture that is 3 parts tar to 5 parts turpentine by volume?