A medicine is made of chemical and water. Quantity of the chemical in the medicine is \(11\frac{1}{9}{\rm{\% \;}}\) is more than that of the water. The chemical is made from two different liquids A and B. Quantity of liquid A in the chemical is \(11\frac{1}{9}{\rm{\% }}\) less than that of liquid B. Find the ratio of liquid A, liquid B and water in the medicine.
1). 35 ∶ 45 ∶ 111
2). 87 ∶ 78 ∶ 150
3). 80 ∶ 90 ∶ 153
4). 70 ∶ 80 ∶ 153
Let the quantity of the water in the medicine be 9x
So, quantity of the chemical in the medicine = 9x × (1 + 1/9) = 10x
Ratio of chemical to water in the medicine = 10x? 9x = 10 ? 9
Let the quantity of the liquid B in the chemical be 9y
So, quantity of the liquid A in the chemical = 9y × 8/9 = 8y
Ratio of liquid A to liquid B in the chemical = 8y? 9y = 8 ? 9
Ratio of chemical to water = 170 ? 153
Ratio of liquid A to liquid B = 80 ? 90
∴ ratio of liquid A, liquid B and water in the medicine = 80 ? 90 ? 153