At a stall, 3 samosas and 2 cups of tea cost ₹56…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
At a stall, samosas and cups of tea cost ₹. samosas and cups of tea cost ₹. Find the price of a samosa and of a cup of tea.
Need a reminder? The key ideaShow
Substitution: write one letter in terms of the other and put it into the second equation. Elimination: make the coefficients of one letter match, then add or subtract the equations. Always put the answer back into both equations. If both letters vanish, means infinitely many solutions and a false statement means none.
The worked solution
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. and .
Step 2. Add. , so .
Step 3. Subtract. , so .
Step 4. Solve. Adding and gives , so and .
Check. and .
Answer: a samosa costs ₹ and a cup of tea costs ₹.
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