At the farm, the duck population increased by 30% in the second month and then by a further 10% in the next 6 months. If there were 1144 ducks in the end, how many ducks were there at the farm at first?
| |
Ducks |
| Before |
100% |
| Change 1 |
+ 30% |
| After 1 |
130% |
| Change 2 |
+ 13% |
| After 2 |
143% |
Population of ducks at first = 100%
New population of ducks after first increase
= 100% + 30%
= 130%
Percentage of second increase
= 10% x 130%
=
10100 x 130%
= 13%
New population of ducks after second increase
= 130% + 13%
= 143%
143% of duck population = 1144
1% of the duck population
= 1144 ÷ 143
= 8
100% of duck population
= 100 x 8
= 800
Number of ducks at first = 800
Answer(s): 800
