one buffalo give 5L milk, one cow give 2L one goat give 250ml milk and total amount of milk is 40L and number of animals is 20.How much milk they give sapratly
Answers
Answer:
short answer
Step-by-step explanation:
Short answer: You milk them.
Long answer:
Let B = number of buffalo, C = number of cows, G = number of goats
Total number of animals = 100, so B + C + G = 100 (equation 1)
Total milk yield = 100 litres, so 5B + 0.50C + 0.25G = 100 (equation 2)
But we need 3 simultaneous equations to solve for 3 variables. Let’s at least eliminate one of the variables.
Multiplying equation 2 by 4 gives: 20B + 2C + G = 400
Subtract equation 1: 19B + C = 300
B and C are both positive integers so B <= 300/19 so B <= 15.79
C = 300 - 19B and B + C <= 100
so 300 - 19B + B <= 100, so 18B >= 200, so B >= 200/18, so B >= 11.11
Finding C and G for all integral values of B between 11.11 and 15.79,where C = 300 - 19B and G = 100 - B - C:
Solution i) B = 12; C= 300 - (19 × 12) = 72; G = 100 - 12 - 72 = 16
Solution ii) B = 13; C = 300 - (19 × 13) = 53; G = 100 - 13 - 53 = 34
Solution iii) B = 14; C = 300 - (19 × 14) = 34; G = 100 - 14 - 34 = 52
Solution iv) B = 15; C = 300 - (19 x 15) = 15; G = 100 - 15 - 15 = 70
Checking milk yields, 5B + 0.50C + 0.25G:
Solution i) (5 × 12) + (0.50 × 72) + (0.25 × 16) = 60 + 36 + 4 = 100
Solution ii) (5 × 13) + (0.50 × 53) + (0.25 × 34) = 65 + 26.5 + 8.5 = 100
Solution iii) (5 x 14) + (0.50 × 34) + (0.25 × 52) = 70 + 17 + 13 = 100
Solution iv) (5 × 15) + (0.50 x 15) + (0.25 × 70) = 75 + 7.5 + 17.5 = 100
a got gives 81250 ml milk in the morning and 7 l 450 ml milk in the morning how much milk does the goat give in a day?