Squirt: Three containers
a
This is
b
This is
a
and
b
have a relationship.
The relationship is between their volumes.
You can express this relationship as:
a
=
b
+
b
a
=
b
+
b
is the same as
a
= 2 x
b
or a = 2 x b
a
and
b
also have a relationship with
c
If you know b = 3 x c, then you can work out the relationship between a and c.
We know a = 2 x b
and b = 3 x c
so a = 2 x 3 x c
or a = 6 x c
You can use Squirt: Three containers to explore these relationships.
Squirt: Three containers
How to use
Your task is to work out the volume relationships between three containers.
That is, how many times bigger or smaller each one is compared to the others.
b = x a
OK
b x = c
OK
c = x a
OK
a
b
c
Level 0
Have you used Squirt: Three containers before?
What type of problem would you like to solve?
Work out the relationship between all three containers.
To do this, fill one up and then use the arrows to squirt between a and b, and between b and c.
a = b
c = b
a =
c
a
b
c
That's not right.
The water in one container goes into another container 6 times.
This relationship can be written as c = 6b.
Type this number into the equation.