solve and interpret the real-world solution using the following problem: One morning, a farmer brings 58 carrots to feed his horses. They give each one of the horses 4 carrots apiece and are left with exactly 2 uneaten carrots. How many horses does the farmer have? Use h to represent horses
Let's solve the problem step by step:
1. Let's assume the number of horses is h.
2. The farmer brings 58 carrots to feed his horses.
3. Each horse eats 4 carrots.
4. The total number of carrots eaten by the horses is 4h.
5. After feeding the horses, the farmer is left with exactly 2 uneaten carrots.
6. The equation representing the number of uneaten carrots is 58 - 4h = 2.
7. Solving the equation: 58 - 2 = 4h.
8. Simplifying the equation: 56 = 4h.
9. Dividing both sides of the equation by 4: h = 14.
Therefore, the farmer has 14 horses.
Interpretation: The solution to the problem is that the farmer has 14 horses.