At the farm, the cow population increased by 20% in the second month and then by a further 5% in the next 4 months. If there were 882 cows in the end, how many cows were there at the farm at first?
|
Cows |
Before |
100% |
Change 1 |
+ 20% |
After 1 |
120% |
Change 2 |
+ 6% |
After 2 |
126% |
Population of cows at first = 100%
New population of cows after first increase
= 100% + 20%
= 120%
Percentage of second increase
= 5% x 120%
=
5100 x 120%
= 6%
New population of cows after second increase
= 120% + 6%
= 126%
126% of cow population = 882
1% of the cow population
= 882 ÷ 126
= 7
100% of cow population
= 100 x 7
= 700
Number of cows at first = 700
Answer(s): 700