At the farm, the duck population increased by 20% in the second month and then by a further 25% in the next 8 months. If there were 750 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 |
+ 30% |
After 2 |
150% |
Population of ducks at first = 100%
New population of ducks after first increase
= 100% + 20%
= 120%
Percentage of second increase
= 25% x 120%
=
25100 x 120%
= 30%
New population of ducks after second increase
= 120% + 30%
= 150%
150% of duck population = 750
1% of the duck population
= 750 ÷ 150
= 5
100% of duck population
= 100 x 5
= 500
Number of ducks at first = 500
Answer(s): 500