Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A shopkeeper mixes tea that costs ₹ per kg with tea that costs ₹ per kg, to make kg of mixture worth ₹ per kg. How much of each tea does she use?
Name the two unknowns with their units and write one equation for each fact. A two-digit number with tens digit and units digit is . Downstream speed is and upstream speed is . Check the answer against the words of the problem.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The equations. The amounts: . The cost: .
Step 2. Substitute. From the first equation , so . That is .
Step 3. Solve. , so , and .
Check. , and .
Answer: kg of the cheaper tea and kg of the dearer tea.
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