At the farm, the pig population increased by 10% in the second month and then by a further 20% in the next 11 months. If there were 1056 pigs in the end, how many pigs were there at the farm at first?
|
Pigs |
Before |
100% |
Change 1 |
+ 10% |
After 1 |
110% |
Change 2 |
+ 22% |
After 2 |
132% |
Population of pigs at first = 100%
New population of pigs after first increase
= 100% + 10%
= 110%
Percentage of second increase
= 20% x 110%
=
20100 x 110%
= 22%
New population of pigs after second increase
= 110% + 22%
= 132%
132% of pig population = 1056
1% of the pig population
= 1056 ÷ 132
= 8
100% of pig population
= 100 x 8
= 800
Number of pigs at first = 800
Answer(s): 800