Question
A mixture of 60 liters contains milk and water in the
ratio 7:5. How much milk should be added to make the ratio 3:1?Solution
Initial milk = (7/12) × 60 = 35 liters Initial water = (5/12) × 60 = 25 liters Let x liters of milk be added. New ratio = (35 + x)/25 = 3/1 35 + x = 75 x = 40 liters Answer: d) 40 liters
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 29x + 210 = 0
Equation 2: y² - 27y + 182 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 20x + 96 = 0
Equation 2: y² - 18y + 72 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 32x + 207 = 0
Equation 2: y² - 51y + 648 = 0
I. x2 + 11x + 30 = 0
II. y2 + 17y + 72 = 0
I. x2 – 12x + 32 = 0
II. y2 + y - 20 = 0
I. 2x2 – 5x – 12 = 0
II. 2y2 + 13y + 20 = 0
For 3x² − 10x − 8 = 0, find (1/α + 1/β).
l. x2 - 16x + 64 = 0
II. y2Â = 64
I. 3p² - 14p + 15 = 0
II. 15q² - 34q + 15 = 0
I. 5x + y = 37
II. 4y+ x = 15
