Question

a goat consumes 2 kg of grass per day, and a cow consumes 4 kg of grass per day. two pairs of goats and one pair of cattle are released in a sanctuary with a total biomass of 16,000 kg of grass at the time of release. the growth rate of grass accounts for an increase of 1000 kg every 100 days. how much grass stands after 1000 days?

Answer 1

After 1000 days, there will be approximately 9,984 kg of grass remaining in the sanctuary.

Step-by-step explanation:

To determine how much grass stands after 1000 days, we need to calculate the total amount of grass consumed by the goats and cows and subtract it from the initial amount. The goats consume 2 kg of grass per day, so one pair of goats (2 goats) consumes 2 x 2 = 4 kg of grass per day. Since there are two pairs of goats, they consume a total of 4 x 2 = 8 kg of grass per day. The cow consumes 4 kg of grass per day, so one pair of cows (2 cows) consumes 4 x 2 = 8 kg of grass per day. In total, the goats and cows consume 8 + 8 = 16 kg of grass per day.

After 100 days, the grass growth rate of 1000 kg means there is an increase of 1000 kg / 100 days = 10 kg of grass per day. To find out how much grass stands after 1000 days, we need to calculate the cumulative increase in grass growth, which is 10 kg/day x 1000 days = 10,000 kg. Therefore, the amount of grass that stands after 1000 days is 16,000 kg (initial amount) + 10,000 kg (cumulative increase) - 16 kg/day x 1000 days (consumed by goats and cows) = 9,984 kg.