\[A\]
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 \[6:10:35\]
.