In the smallest of the three triangles (with sides
) we have

In the second-largest triangle (with sides
), the length of the missing side is
. Then in the largest triangle (with sides
), we have



Equivalently, we have

In turn, we find

Answer: x = 2,340 homes without children
There are 2,340 homes without children.
Step-by-step explanation:
'x' represent the number of homes without children
'y' represent the number of homes with children
x : y = 9 : 7
Since the total number of homes is 4160 means x + y = 4160.
From x + y = 4160 follows y = 4160 - x.
Plug y = 4160 - x into x : y = 9 : 7
x : (4160 - x) = 9 : 7
Since we know that there is a 1 in 12 chance that the spinners will land on "4" and "C" and we know the total amount of spins is 240, we can find one twelfth of 240. To do so, you multiply 240 by 1/12 which is the same as 240/12. This can be simplified to 20 through division. Therefore, the answer is 20 times.
I hope this helps.<span />
A real world example could be:
Consider x is time in minutes
Consider y is the amount of fish food required in grams
The equation could then represent how much food (in grams) that a fish needs to be fed x minutes after it was previously fed.