Find the ratio of total number of Turkey burger sold by both Kalsang and Farzi to the total number of Bean burger sold by Farzi.

Solution

Let number of Turkey burger sold by Kalsang, Farzi and Piccolo be 15x, 10x and 4x respectively. Let number of Bean burger sold by Kalsang = ‘y’= number of Bean burger sold by Piccolo Number of Veggie burger sold by Kalsang = (10 + y) According to question, => 15x +10x + 4x = 15x + (10 + y) + y => 29x = 15x + 10 + 2y => y = 7x – 5 ------- (i)   Let number of Bean burger sold by Farzi be ‘a’. So, (y + a + y)/3 = 160/3 => 2y + a = 160 ------- (ii) Number of Veggie burger sold by Piccolo = (a/2) = 0.5a Let number of Veggie burger sold by Farzi = b Total number of Veggie burger sold = 160 – 40 = 120 => (10 + y) + b + 0.5a = 120 => y + b + 0.5a = 110 ------- (iii) b : 4x = 5 : 4 => b = 5x ------- (iv) Solving (i), (ii), (iii) and (iv) we get, => x = 6, y = 37, a = 86 and b = 30 Required ratio = (90 + 60) : 86 = 75:43