A container has 80 litres of pure honey. x litres of the content are removed and replaced with sugar syrup. This process is repeated one more time. If the final quantity of honey in the mixture is 64.8 litres, find the value of x.Question 9Answera.9 litresb.7 litresc.8 litresd.4.7 litres
Question
A container has 80 litres of pure honey. x litres of the content are removed and replaced with sugar syrup. This process is repeated one more time. If the final quantity of honey in the mixture is 64.8 litres, find the value of x.Question 9Answera.9 litresb.7 litresc.8 litresd.4.7 litres
Solution
Let's solve this step by step:
Step 1: Initially, the container has 80 litres of pure honey.
Step 2: x litres of honey are removed and replaced with sugar syrup. So, the quantity of honey left in the container is 80 - x litres.
Step 3: This process is repeated one more time. So, the quantity of honey left in the container after the second operation is (80 - x) - x*(80 - x)/80.
Step 4: According to the problem, the final quantity of honey left in the container is 64.8 litres. So, we can set up the equation (80 - x) - x*(80 - x)/80 = 64.8.
Step 5: Solve this equation for x.
After solving the equation, you will find that the value of x is approximately 9 litres. So, the correct answer is a. 9 litres.
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