At the farm, the duck population increased by 30% in the second month and then by a further 10% in the next 5 months. If there were 1430 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 = 1430
1% of the duck population
= 1430 ÷ 143
= 10
100% of duck population
= 100 x 10
= 1000
Number of ducks at first = 1000
Answer(s): 1000