At the farm, the goose population increased by 25% in the second month and then by a further 20% in the next 10 months. If there were 1050 geese in the end, how many geese were there at the farm at first?
| |
Geese |
| Before |
100% |
| Change 1 |
+ 25% |
| After 1 |
125% |
| Change 2 |
+ 25% |
| After 2 |
150% |
Population of geese at first = 100%
New population of geese after first increase
= 100% + 25%
= 125%
Percentage of second increase
= 20% x 125%
=
20100 x 125%
= 25%
New population of geese after second increase
= 125% + 25%
= 150%
150% of goose population = 1050
1% of the goose population
= 1050 ÷ 150
= 7
100% of goose population
= 100 x 7
= 700
Number of geese at first = 700
Answer(s): 700
