SOLUTION: Jefferson County Park and Shelby County Park are the same size. Three fourths of Jefferson County Park is for the playground and 2/5 of the playground is covered with asphalt for

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Jefferson County Park and Shelby County Park are the same size. Three fourths of Jefferson County Park is for the playground and 2/5 of the playground is covered with asphalt for       Log On


   

Question 366900: Jefferson County Park and Shelby County Park are the same size. Three fourths of Jefferson County Park is for the playground and 2/5 of the playground is covered with asphalt for basketball. Two-fifths of Shelby County Park is for the playground and 3/4 of the playground is covered with asphalt for basketball. Which park has a larger area for basketball? Find a geometric way to explain your solution.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Parks are the same size. 

Jefferson Park:  2/5 of the 3/4 of the total size is asphalt

Shelby Park: 3/4 of the 2/5 if the total size is asphalt

 (2/5)* 3/4 = 6/20 of the total size

 (3/4)*2/5 = 6/20 of the total size

The two areas for basketball are the same in these two Parks