At the farm, the goat population increased by 20% in the second month and then by a further 15% in the next 6 months. If there were 1380 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 |
+ 18% |
| After 2 |
138% |
Population of goats at first = 100%
New population of goats after first increase
= 100% + 20%
= 120%
Percentage of second increase
= 15% x 120%
=
15100 x 120%
= 18%
New population of goats after second increase
= 120% + 18%
= 138%
138% of goat population = 1380
1% of the goat population
= 1380 ÷ 138
= 10
100% of goat population
= 100 x 10
= 1000
Number of goats at first = 1000
Answer(s): 1000
