there are approximately 202 gallons per cubic yard of water write and solve an equation for the number of gallons of water to fill a pool with a volume of 1161 cubic feet

The Volume of the Swimming pool is : 1161 cubic feet

The water in the 1 cubic yard = 202 gallons

Let us first change 1 cubic yard into 1 cubic feet

We know 1 yard = 3 foot

1 cubic yard = 3*3*3 cubic feet

1 cubic yard = 9 cubic feet.

Water in the 9 cubic feet = 202 gallons

water in the 1 cubic feet = 202/9 = 22.44 gallons

Let us suppose there is x gallon water in the swimming pool

so volume of the swimming pool in cubic feet * volume of the water in 1 cubic feet = x gallon

1161 * 22.44 = x

26058 gallons = x

Answer : 26058 gallons of water is required to fill the swimming pool.