Question

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

Answer 1

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 .