Let the original price of the sweater be = X Then the amount Jerome pays for the sweater after 20% discount = X - (20X/100) = X - 0.2X = 0.8X Now on this price the 8.25% tax needs to be added to get to the amount actually paid by Jerome. So, 0.8X + [(8.25/100) * (0.8X) = 25.1 This is the equation from which the actual price of the sweater bought by Jerome can be determined. So 0.8X + [(.0825) * ( 0.8X) = 25.1 0.8X + 0.066X = 25.1 0.866X = 25.1 X = 25.1/0.866 = 28.98 So the actual price of the sweater is $28.98.
If two small containers and one large container equal 10 cups and one large minus one small equals 4 cups then that means that each small container has to equal 2 cups of water.