At the farm, the goose population increased by 30% in the second month and then by a further 20% in the next 11 months. If there were 1404 geese in the end, how many geese were there at the farm at first?
| |
Geese |
| Before |
100% |
| Change 1 |
+ 30% |
| After 1 |
130% |
| Change 2 |
+ 26% |
| After 2 |
156% |
Population of geese at first = 100%
New population of geese after first increase
= 100% + 30%
= 130%
Percentage of second increase
= 20% x 130%
=
20100 x 130%
= 26%
New population of geese after second increase
= 130% + 26%
= 156%
156% of goose population = 1404
1% of the goose population
= 1404 ÷ 156
= 9
100% of goose population
= 100 x 9
= 900
Number of geese at first = 900
Answer(s): 900
