At the farm, the turkey population increased by 10% in the second month and then by a further 20% in the next 9 months. If there were 396 turkeys in the end, how many turkeys were there at the farm at first?
|
Turkeys |
Before |
100% |
Change 1 |
+ 10% |
After 1 |
110% |
Change 2 |
+ 22% |
After 2 |
132% |
Population of turkeys at first = 100%
New population of turkeys after first increase
= 100% + 10%
= 110%
Percentage of second increase
= 20% x 110%
=
20100 x 110%
= 22%
New population of turkeys after second increase
= 110% + 22%
= 132%
132% of turkey population = 396
1% of the turkey population
= 396 ÷ 132
= 3
100% of turkey population
= 100 x 3
= 300
Number of turkeys at first = 300
Answer(s): 300