At the farm, the sheep population increased by 20% in the second month and then by a further 5% in the next 6 months. If there were 378 sheep in the end, how many sheep were there at the farm at first?
|
Sheep |
Before |
100% |
Change 1 |
+ 20% |
After 1 |
120% |
Change 2 |
+ 6% |
After 2 |
126% |
Population of sheep at first = 100%
New population of sheep after first increase
= 100% + 20%
= 120%
Percentage of second increase
= 5% x 120%
=
5100 x 120%
= 6%
New population of sheep after second increase
= 120% + 6%
= 126%
126% of sheep population = 378
1% of the sheep population
= 378 ÷ 126
= 3
100% of sheep population
= 100 x 3
= 300
Number of sheep at first = 300
Answer(s): 300