At the farm, the goat population increased by 30% in the second month and then by a further 20% in the next 6 months. If there were 624 goats in the end, how many goats were there at the farm at first?
| |
Goats |
| Before |
100% |
| Change 1 |
+ 30% |
| After 1 |
130% |
| Change 2 |
+ 26% |
| After 2 |
156% |
Population of goats at first = 100%
New population of goats after first increase
= 100% + 30%
= 130%
Percentage of second increase
= 20% x 130%
=
20100 x 130%
= 26%
New population of goats after second increase
= 130% + 26%
= 156%
156% of goat population = 624
1% of the goat population
= 624 ÷ 156
= 4
100% of goat population
= 100 x 4
= 400
Number of goats at first = 400
Answer(s): 400
