A stationery shop sells notebooks and pens. The cost of 4 notebooks and 6 pens is ₹228. The cost of 7 notebooks and 6 pens is ₹333. Find the cost of one notebook.
₹ 35
Let the cost of a notebook be n and a pen be p. \(4n+6p=228\) and \(7n+6p=333\).
Subtracting: \(3n = 105 \Rightarrow n = 35\).
Hence, the cost of one notebook is ₹35.
If $2x - 3y = -1$ and $\frac{x}{x+y} = \frac{7}{12}$, then the value of $2xy$ is:
What is the solution of the following equations ?
2x + 3y = 12 and 3x − 2y = 5
Two positive numbers differ by 1280. When the greater number is divided by the smaller number, the quotient is 7 and the remainder is 50. The greater number is:
When 5 children from class A join class B, the number of children in both classes is the same. If 25 children from B, join A, then the number of children in A becomes double the number of children in B. The ratio of the number of children in A to those in B is:
If (x + 6y) = 8, and xy = 2, where x > 0, what is the value of (x 3+ 216y 3)?
If 8k 6+ 15k 3– 2 = 0, then the positive value of \(\left( {{\rm{k}}\,{\rm{ + }}\,\frac{1}{{\rm{k}}}} \right)\) is :