Question

45. Out of 11 cows one worth Rs. 25 was removed and a horse was taken in. If their
average price is thereby increased by Rs. 5, find the price of the horse.​

Answer 1

Answer:

Answer:with just cows, the average price is 26000

with 12 cows and one horse, the average price is 26000 + 15000 = 41000.

with all cows, then the total price is 13 * 26000 = 338,000

with 12 cows and 1 horse, the total price is 13 * 41000 = 533,000

12 cows at 26000 each is equal to 312,000

the horse must have cost 533,000 minus 312,000 = 221,000

12 cows at 26000 each plus 1 horse at 221,000 = 533,000 / 13 = average price of 41,000 each.

algebraically, you might solve as follows:

with cows only, you get 13 * 26000 / 13 = 26000

with 12 cows plus 1 horse, you get (12 * 26000 + x) / 13 = 41000

x represents the price of the horse.

solve that equations for x as follows:

start with (12 * 26000 + x) / 13 = 41000

multiply both sides of that equation by 13 to get 12 * 26000 + x = 13 * 41000

subtract 12 * 26000 from both sides of that eqution to get x = 13 * 41000 - 12 * 26000.

this results in x = 533,000 - 312,000 = 221,000

that's the price of the horse.

Answer 2

Step-by-step explanation:

with 12 cows and one horse, the average price is 26000 + 15000 = 41000.

with all cows, then the total price is 13 * 26000 = 338,000

with 12 cows and 1 horse, the total price is 13 * 41000 = 533,000

12 cows at 26000 each is equal to 312,000

the horse must have cost 533,000 minus 312,000 = 221,000

12 cows at 26000 each plus 1 horse at 221,000 = 533,000 / 13 = average price of 41,000 each.

algebraically, you might solve as follows:

with cows only, you get 13 * 26000 / 13 = 26000

with 12 cows plus 1 horse, you get (12 * 26000 + x) / 13 = 41000

x represents the price of the horse.

solve that equations for x as follows:

start with (12 * 26000 + x) / 13 = 41000

multiply both sides of that equation by 13 to get 12 * 26000 + x = 13 * 41000

subtract 12 * 26000 from both sides of that eqution to get x = 13 * 41000 - 12 * 26000.

this results in x = 533,000 - 312,000 = 221,000

that's the price of the horse.