Answer:
x = 66
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Each complete cleaning requires 6 drops of cleaner. Let's convert that to ml:
6 drops 1 ml 3 ml cleaner
----------- * ------------- = ------------------- = 0.3 ml cleaner per cleaning
20 drops 10 cleanings
Recall that 1 bottle contains 30 ml cleaning fluid.
How many cleanings is one bottle of fluid good for?
1 bottle 0.3 ml
----------- = ----------- => x = 100 cleanings/bottle
x 30 ml
A fraction x/y is a ratio between two numbers x and y.
The ratio is preserved if both x and y are scaled up or down by the same number n.
This means you can obtain any fraction equivalent to x/y by multiplying both x and y by n, i.e. (n*x)/(n*y).
Then we have 1/4 = (2*1)/(2*4) = 2/8, for example.