A farmer has 2400 sheep. He loses \( 32 \frac{1}{2} \% \) due to the drought. After the loses \( 15 \% \) due to sickness. How many sheep does he have now?

The farmer initially has 2400 sheep. First, let's calculate the number of sheep lost due to the drought, which is \( 32 \frac{1}{2} \% \) or \( 32.5 \% \). To find the number of sheep lost, we calculate: \[ \text{Sheep lost to drought} = 2400 \times \frac{32.5}{100} = 2400 \times 0.325 = 780 \] Now, subtract the lost sheep from the initial count: \[ \text{Sheep after drought} = 2400 - 780 = 1620 \] Next, calculate the loss due to sickness at \( 15 \% \) of the remaining sheep: \[ \text{Sheep lost to sickness} = 1620 \times \frac{15}{100} = 1620 \times 0.15 = 243 \] Finally, subtract this from the remaining count: \[ \text{Sheep after sickness} = 1620 - 243 = 1377 \] So, the farmer now has **1377 sheep**.