If \(1.2x = 0.5y\), find the value of \(\dfrac{x+y}{x-y}\).
\(-\tfrac{17}{7}\)
\(1.2x = 0.5y\) gives \(y = 2.4x\).
Substituting into the required expression: \(\dfrac{x+y}{x-y} = \dfrac{x+2.4x}{x-2.4x} = \dfrac{3.4x}{-1.4x} = -\dfrac{17}{7}\).
Hence, the value of \(\dfrac{x+y}{x-y}\) is \(-\tfrac{17}{7}\).
If $2x - 3y = -1$ and $\frac{x}{x+y} = \frac{7}{12}$, then the value of $2xy$ is:
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.
Juhi and Mamta have certain amount of money. If Juhi gives ₹30 to Mamta, Juhi will then have twice as much money as Mamta. However, if Mamta gives ₹10 to Juhi, Juhi will then have four times as much money as Mamta. What is the total amount of money (in ₹) that Juhi and Mamta initially had together?
The monthly charges of a hostel consist of a fixed part and a variable part depending on the number of students. For 25 students, the total bill is ₹17,500. For 40 students, the total bill is ₹25,000. What is the total bill for 60 students?
If 2 x + 3 y = 17;
2 x+2 - 3 y+1 = 5
then the values of x and y are:
The solution of pair of linear equations \(\dfrac{1}{2}x+\dfrac{2}{3}y=-1,x-\dfrac{1}{3}y=3\) by the elimination method, is:
Kumar tried his skill at shooting at a fun fair. He has to hit the target and if he hits the target he gets 1 Rs. and if he misses he has to pay 50 paise. He attempted 25 shots and won 10 Rs. In how many did he hit the target?
The sum of two numbers is 66 and their difference is 22. What is the ratio of the two numbers?
Shyam spent half of his money and was left with as many as he had rupees before, but with half as many rupees as he had paise before. Which of the following is a possible amount of money he is left with?