## Chaib Ratios

Suppose quantities ratios
$A$
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
$6:10:35$
.