Question

Jug P can hold twice as much water as Jug Q. Cup P can hold twice as much water as Cup Q. Sanjay completely fills Cup P with water and pours it into Jug P. He repeats this 20 times until Jug P is full. How many times will he need to use Cup Q to fill Jug Q?

Answer 1

Step-by-step explanation:

Let x = the capacity of each glass (in liters)

So, if the glass is 3/4 full, then (3/4)x = the amount of water in one glass

So, (2)(3/4)x = the amount of water in TWO glasses

IMPORTANT: the volume of water IN the TWO glasses is equal to the volume of water that was poured OUT of the 5-liter jug.

Since the 5-liter jug ends up being 3/4 full, we can conclude that 1/4 of the water was poured OUT of the 5-liter jug.

So, (1/4)(5) = the volume of water that was poured OUT of the 5-liter jug.

Now we'll set up a "word equation"

Volume of water IN the TWO glasses = volume of water poured OUT of the 5-liter jug

We get: (2)(3/4)x = (1/4)(5)

Simplify: 6x/4 = 5/4

Multiply both sides by 4 to get: 6x = 5

Solve: x = 5/6

Answer 2

Answer:

40 times

Step-by-step explanation:

The other answer is wrong