Plastic tub has capacity of 13.5 quarts. It can hold 3 times as much liquid as a pail. Pail can hold twice as much liquid as can. Find capacity of pail and that of the can in quarts.
13.5 / 3 = _______ quarts in a pail
6.75
To find the capacity of the pail and the can, we'll need to work backward step by step.
Let's assume the capacity of the can is "x" quarts.
According to the given information, the pail can hold twice as much liquid as the can. So, the capacity of the pail is 2 times x = 2x quarts.
Now, the plastic tub can hold three times as much liquid as the pail. Therefore, the capacity of the tub is 3 times 2x = 6x quarts.
Given that the capacity of the tub is 13.5 quarts, we can set up an equation to solve for "x":
6x = 13.5
Divide both sides of the equation by 6:
x = 13.5 / 6
x ≈ 2.25
So, the capacity of the can is approximately 2.25 quarts.
To find the capacity of the pail, we can substitute this value back into the equation for the pail's capacity:
2x = 2 * 2.25 = 4.5
Therefore, the capacity of the pail is 4.5 quarts, and the capacity of the can is 2.25 quarts.