At the farm, the pig population increased by 20% in the second month and then by a further 5% in the next 7 months. If there were 252 pigs in the end, how many pigs were there at the farm at first?
|
Pigs |
Before |
100% |
Change 1 |
+ 20% |
After 1 |
120% |
Change 2 |
+ 6% |
After 2 |
126% |
Population of pigs at first = 100%
New population of pigs after first increase
= 100% + 20%
= 120%
Percentage of second increase
= 5% x 120%
=
5100 x 120%
= 6%
New population of pigs after second increase
= 120% + 6%
= 126%
126% of pig population = 252
1% of the pig population
= 252 ÷ 126
= 2
100% of pig population
= 100 x 2
= 200
Number of pigs at first = 200
Answer(s): 200