Question

The total number of horses and people at the riding academy for the sunday session is 37. the total number of legs at the academy that day is 112. how many horses are at the riding academy that day? a. 93 horses b. 19 horses c. 18 horses d. 94 horses

Answer 1

There are 19 horses at the riding academy that day.

Step-by-step explanation:

Let's represent the number of horses as 'h' and the number of people as 'p'.

From the given information, we can create two equations:

1. h + p = 37 (equation 1)
2. 4h + 2p = 112 (equation 2)

We can solve these equations simultaneously to find the values of 'h' and 'p'.

Multiplying equation 1 by 2, we get:

2h + 2p = 74 (equation 3)

Subtracting equation 3 from equation 2, we get:

2h = 38

Dividing both sides by 2, we find that h = 19.

Therefore, there are 19 horses at the riding academy that day.