A bathtub made of cast iron and porcelain contains 60 gallon

A bathtub made of cast iron and porcelain contains 60 gallons of water and the total weight of the tub and water is approximately 875.7 pounds. You pull the plug and the water begins to drain. (Note that water weighs 8.345 pounds per gallon).

Define a formula that determines the weight of the water that has drained from the tub, h , in terms of the number of gallons of water that have drained from the tub, g .
  

Define a formula that determines the total weight in pounds of the tub and water, w , in terms of the number of gallons of water that have drained from the tub, g .
   

How much does the tub weigh when there is no water in the tub?
    

If the weight of the tub and water is 566.935 pounds, how many gallons of water are in the tub?

Solution

we are given

A bathtub made of cast iron and porcelain contains 60 gallons of water and the total weight of the tub and water is approximately 875.7 pounds

water weighs 8.345 pounds per gallon

fisrtly , we find weight of water in tank

weight of water in tank =60*8.345=500.7

number of gallons of water drained =g

weight of the water that has drained from the tub=h

weight of the water that has drained from the tub=h=8.345*g

total weight of tube and water = 875.7 pounds

weight of water and tube after darininng =(875.7-8.345g) pounds

weight of water in tube =500.7 pounds

now, we can find weight when there is no water

weight when there is no water =875.7-500.7=375 pounds

now, we are given that

weight of the tub and water is 566.935 pounds

so, weight of water =566.935-weight of tube

weight of water = 566.935-375=191.935 pounds

now, we can find number of gallons

number of gallons=(weight of water )/(weight of water per gallon)

number of gallons =191.935/8.345

number of gallons=23...........Answer