At the farm, the goat population increased by 20% in the second month and then by a further 5% in the next 3 months. If there were 882 goats in the end, how many goats were there at the farm at first?
| |
Goats |
| Before |
100% |
| Change 1 |
+ 20% |
| After 1 |
120% |
| Change 2 |
+ 6% |
| After 2 |
126% |
Population of goats at first = 100%
New population of goats after first increase
= 100% + 20%
= 120%
Percentage of second increase
= 5% x 120%
=
5100 x 120%
= 6%
New population of goats after second increase
= 120% + 6%
= 126%
126% of goat population = 882
1% of the goat population
= 882 ÷ 126
= 7
100% of goat population
= 100 x 7
= 700
Number of goats at first = 700
Answer(s): 700
