Question

can anyone can give correct answer with explanation and those who don't no don't give irritated answer​​

Answer 1

Answer:

(i)Fraction of orange concentrate in cold drink = $\frac{1}{6}$

(ii)Fraction of rotten eggs in basket = $\frac{2}{13}$

(iii)Fraction of students scoring over 80% marks = $\frac{5}{147}$

(iv)Breadth as a function of perimeter = $\frac{3}{16}$

Step-by-step explanation:

(i) The ratio of water and orange concentrate is 5:1.

Let amount of water = 5x and amount of orange concentrate = x, where x is an integer.

∴Amount of cold drink = 5x+x = 6x.

⇒Fraction of orange concentrate in cold drink = $\frac{amount of orange concentrate}{amount of cold drink}$

⇒Fraction of orange concentrate in cold drink = $\frac{x}{6x}$

⇒Fraction of orange concentrate in cold drink = $\frac{1}{6}$

(Similarly, others also can be solved)

(ii) The ratio of rotten eggs to good eggs is 2:11.

Let number of rotten eggs = 2x and number of good eggs = 11x, where x is an integer.

∴Total number of eggs = 2x+11x = 13x.

⇒Fraction of rotten eggs in basket = $\frac{number of rotten eggs}{total number of eggs}$

⇒Fraction of rotten eggs in basket = $\frac{2x}{13x}$

⇒Fraction of rotten eggs in basket = $\frac{2}{13}$

(iii) The ratio of total students to the students scoring over 80% is 147:5.

⇒Fraction of students scoring over 80% marks = $\frac{5}{147}$

(iv) The ratio of the length to the breadth of the rectangle is 5:3.

Let length of rectangle = 5x and breadth of rectangle = 3x, where x is an integer.

⇒Perimeter of rectangle = $2(length+breadth)$

⇒Perimeter of rectangle = $2(5x+3x)$

or Perimeter of rectangle = $2(8x)$ = 16x

⇒Breadth as a function of perimeter = $\frac{breadth of rectangle}{perimeter of rectangle}$

⇒Breadth as a function of perimeter = $\frac{3x}{16x}$

⇒Breadth as a function of perimeter = $\frac{3}{16}$