A food outlet sells two types of meal combos. The first combo contains 2 sandwiches and 1 juice and costs ₹80. The second combo contains 1 sandwich and 2 juices and costs ₹70. What is the price of one sandwich?
₹30
Let the price of one sandwich be \(s\) and the price of one juice be \(j\) (in ₹).
From the first combo: \(2s + j = 80\). From the second combo: \(s + 2j = 70\).
Multiply the first equation by 2: \(4s + 2j = 160\).
Subtract the second equation from this: \((4s + 2j) - (s + 2j) = 160 - 70\), giving \(3s = 90\).
Therefore \(s = \dfrac{90}{3} = 30\).
Hence, the price of one sandwich is ₹30.
The sum of two numbers is 32. If one number is 5 more than twice the other, then find the smaller number.
A two-digit number has digits whose sum is 9. If 27 is added to the number, its digits are interchanged. Find the number.
The cost of 6 pens and 19 pencils is ₹275. If the cost of a pen decreases by ₹7 and the cost of a pencil increases by ₹7, then the cost of 15 pens and 4 pencils is 132. What is the original cost of 6 pens and 2 pencils?