Question

Suppose that in the problem above, the flock was supposed to eat for 10 hours. Further suppose that things did not go quite as planned. Unfortunately, 11 of the lambs ran away after 7 hours. Two of the goats took a nap for 2 hours. And the sixth sheep is sick, and only ate half of what she should. How many square yards of land didn't get eaten?

Answer 1

After 7 hours, 11 lambs ran away, 2 goats took a 2-hour nap, and the sick sheep only ate half.

After 10 hours, the remaining animals would have eaten 525 square yards, so the square yards of land that didn't get eaten is 475.

Step-by-step explanation:

To find the square yards of land that didn't get eaten, we need to calculate how much land was left to be eaten after 10 hours, and then subtract the amount that was eaten.

After 7 hours, 11 lambs ran away, 2 goats took a 2-hour nap, and the sick sheep only ate half of what she should have.

So, the number of animals still eating after 7 hours is:

1. Lambs: 50 - 11 = 39
2. Goats: 10 - 2 = 8
3. Sheep: 6 - 1/2 = 5.5

After 10 hours, the remaining 39 lambs, 8 goats, and 5.5 sheep would have eaten:

1. Lambs: 39 * 10 = 390 square yards
2. Goats: 8 * 10 = 80 square yards
3. Sheep: 5.5 * 10 = 55 square yards

Therefore, the total area that would have been eaten is 390 + 80 + 55 = 525 square yards.

Since the total area of the land is 1000 square yards, the square yards of land that didn't get eaten is 1000 - 525 = 475 square yards.