Water tank A has a capacity of 550 gallons and is 66% full. Water tank B is 53% full. The ratio of the capacity of Tank A to Tank B is 11:15.
what is the capacity of tank B?
tank A : tank B = 11:15
550/tankB = 11/15
11tankB = 8250
tankB = 750
To find the capacity of tank B, we will use the information given to solve for the unknown value.
First, let's find the capacity of tank A. We are given that tank A has a capacity of 550 gallons and is 66% full.
To find the amount of water in tank A, we can calculate 66% of the capacity. We multiply the capacity by the percentage in decimal form:
66% * 550 gallons = 0.66 * 550 gallons = 363 gallons
So, tank A contains 363 gallons of water.
Next, let's use the ratio of tank A to tank B to find the capacity of tank B. We are given that the ratio of the capacities of tank A to B is 11:15.
We can set up a proportion to find the capacity of tank B:
Capacity of tank A / Capacity of tank B = 11 / 15
Let's substitute the known values:
363 gallons / Capacity of tank B = 11 / 15
To solve for the capacity of tank B, we can cross-multiply:
11 * Capacity of tank B = 15 * 363 gallons
11 * Capacity of tank B = 5445 gallons
Now we can calculate the capacity of tank B:
Capacity of tank B = 5445 gallons / 11 = 495 gallons
Therefore, the capacity of tank B is 495 gallons.
capacity of tank A/ratio of capacity of tank A multiplied by capacity of Tank B
equation:
550/11 x 15
50 x 15
750