First we define the variables:
x = football boots
y = rugby boots
z = hiking boots
Now we write the equations:
(x / y) = 6/2
(y / z) = 2/3
For x = 24 we have:
(24 / y) = 6/2
(24 / y) = 3
y = 24/3
y = 8
On the other hand:
(y / z) = 2/3
(8 / z) = 2/3
(8) * (3/2) = z
z = 12
Then, the sum is:
x + y + z = 24 + 8 + 12 = 44
Answer:
44 boots were sold last month