SOLUTION: two similar cylindrical juice containers have a scale factor of 2:3. To make juice in the smaller container, you use 1/2 cup of concentated juice and fill the rest with water. Find

Algebra ->  Test -> SOLUTION: two similar cylindrical juice containers have a scale factor of 2:3. To make juice in the smaller container, you use 1/2 cup of concentated juice and fill the rest with water. Find      Log On


   

Question 610306: two similar cylindrical juice containers have a scale factor of 2:3. To make juice in the smaller container, you use 1/2 cup of concentated juice and fill the rest with water. Find the amount of concentrated juice needed to make juice in the larger container. (Hint: Start by finding the ratio of the volumes of the containers.)
Please help me with this. I found the ratio of the volumes of the containers, which is 8:27, but I'm lost at what to do next. Please help me and explain. Thanks in advance!
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

Ratio of the volumes of the containers is 8:27.
so, volume are 8x and 27x.

amount of concentrate juice for 8x is 1/2 cup.
then, amount of concentrate juice for 1x is 1/(2*8) cup.

and amount of concentrate juice for 27x is [ 1/(2*8)]*27 cup.

answer : 27/16 cup