Question
In a 80 litres mixture of juice and soda, the ratio of
juice to soda is 2:3. If 30 litres of this mixture is removed and replaced with 10 litres of soda, find the new amount of soda in the mixture.Solution
ATQ,
Total quantity of mixture after removing 30 litres = 80 - 30 = 50 litres
So, quantity of soda in the 50 litres mixture = 50 × (3/5) = 30 litres
So, quantity of soda in the final mixture = 30 + 10 = 40 litres
I. 12x2 + 22x + 8 = 0
II. 4y2 - y − 3 = 0
I. x2 + 24x + 143 = 0
II. y2 + 12y + 35 = 0
I. 17x² - 26x – 16 = 0
II. 17y²- 26y + 9 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 30x + 221 = 0
Equation 2: y² - 28y + 189 = 0
I. 2y2Â + 31y + 99 = 0
II. 4x2 + 8x – 45 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 50x + 600 = 0
Equation 2: y² - 51y + 630 = 0
I. 2b2 - 37b + 143 = 0
II. 2a2 + 15a - 143 = 0
l). 2p² - 10p - 48 = 0
ll). q ² + 5q - 234 = 0
- For what value of a does the quadratic equation x² + ax + 81 = 0 have real and identical roots?
I. 15y2 + 4y – 4 = 0
II. 15x2 + x – 6 = 0
Relevant for Exams:
