The farmer's field of cows
If a farmer has received £1m for the sole use to buy Aberdeen Angus cows and one other brand of cows. The other brand costs £1009 each and the Aberdeen Angus strain costs £1013 each. Please calculate how many of the £1013 cows he will get.
N.B. Be very careful to check the remainder fraction for accuracy after dividing through by 1009. This should leave (4A - 81) divided by 1009. The A for the Aberdeen Angus cows amount must be simplified by taken multiples of 1009 until A is isolated and the remainder from treating the - 81 the same. There is only one solution for any such equation when the multiple of the coefficients = more than the numeral on the other side of the equation.
The answer is 777.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
A clue had to be give as such questions are not in the A-level syllabus. We start with 1009 x + 1013 A = 1,000,000. Dividing through by 1009, we arrive at (4A - 81) divided by 1009 = integer. If we multiply 4A by 757 we get (3028A - 61317) divided by 1009, leaving A - remainder = O. In cases where the product of the two coefficients is less than the result, we use "P" instead of "O", because more than one solution is obtainable.