At the farm, the duck population increased by 20% in the second month and then by a further 5% in the next 3 months. If there were 756 ducks in the end, how many ducks were there at the farm at first?
|
Ducks |
Before |
100% |
Change 1 |
+ 20% |
After 1 |
120% |
Change 2 |
+ 6% |
After 2 |
126% |
Population of ducks at first = 100%
New population of ducks after first increase
= 100% + 20%
= 120%
Percentage of second increase
= 5% x 120%
=
5100 x 120%
= 6%
New population of ducks after second increase
= 120% + 6%
= 126%
126% of duck population = 756
1% of the duck population
= 756 ÷ 126
= 6
100% of duck population
= 100 x 6
= 600
Number of ducks at first = 600
Answer(s): 600