\[A\]

and \[B\]

are in the ratio \[3:5\]

. Ratios \[B\]

and \[C\]

are in the ratio \[2:7\]

.What is the ratio

\[A:B:C\]

?Multiply the first ratio by 2 to get

\[6:10\]

and the second by 5 to get \[10:35\]

. The relative quantities for \[C\]

are the same in both equations, so we can write the ratio \[A:B:C\]

as \[6:10:35\]

.