If a farmer has 90 animals in a field.4/9 are sheep,1/3 are cows,1/10 are horses and the rest are pigs.How many pigs are there?
I don't know the answer
4/9*90 = 40 are sheep, 1/3* 90 =30 are cows, 1/10*90 = 9 are horses. What is left?
First you need to change these fractions to equivalent fractions with the same denominator. The smallest number divisible by 9, 3, and 10 is 90
4/9 = 40/90
1/3 = 30/90
1/10 = 9/90
Add them together and the sum is 79/90. 90/90 - 79/90 = 11/90
11 are pigs.
To find the number of pigs in the field, we need to subtract the number of sheep, cows, and horses from the total number of animals.
Step 1: Determine the number of sheep:
Given that 4/9 of the animals are sheep, we can calculate the number of sheep by multiplying this fraction by the total number of animals:
Number of sheep = (4/9) * 90 = (4/9) * (90/1) = (4 * 90) / (9 * 1) = 360 / 9 = 40
Step 2: Determine the number of cows:
Given that 1/3 of the animals are cows, we can use the same process:
Number of cows = (1/3) * 90 = (1/3) * (90/1) = (1 * 90) / (3 * 1) = 90 / 3 = 30
Step 3: Determine the number of horses:
Given that 1/10 of the animals are horses:
Number of horses = (1/10) * 90 = (1/10) * (90/1) = (1 * 90) / (10 * 1) = 90 / 10 = 9
Step 4: Calculate the number of pigs:
To find the number of pigs, subtract the number of sheep, cows, and horses from the total number of animals:
Number of pigs = Total number of animals - Number of sheep - Number of cows - Number of horses
Number of pigs = 90 - 40 - 30 - 9 = 11
Therefore, there are 11 pigs in the field.