At the farm, the goose population increased by 20% in the second month and then by a further 25% in the next 5 months. If there were 1200 geese in the end, how many geese were there at the farm at first?
|
Geese |
Before |
100% |
Change 1 |
+ 20% |
After 1 |
120% |
Change 2 |
+ 30% |
After 2 |
150% |
Population of geese at first = 100%
New population of geese after first increase
= 100% + 20%
= 120%
Percentage of second increase
= 25% x 120%
=
25100 x 120%
= 30%
New population of geese after second increase
= 120% + 30%
= 150%
150% of goose population = 1200
1% of the goose population
= 1200 ÷ 150
= 8
100% of goose population
= 100 x 8
= 800
Number of geese at first = 800
Answer(s): 800