On a farm, the ratio of cattle to sheep is 3 : 5. There are 24 more cattle. How many sheep are on the farm?

5x = 3x+24

x = 12

I'll let you decide which is which. You canto have a ratio

cattle:sheep = 3:5
and yet have more cattle than sheep.

There are 36 of one and 60 of the other.

To find the number of sheep on the farm, we need to use the given information about the ratio of cattle to sheep. Let's break down the problem step by step:

1. Start by setting up a ratio equation using the given information: cattle to sheep is 3:5. This means that for every 3 cattle, there are 5 sheep.

2. Next, we can assume a constant value for the ratio. Let's assume that there are 3x cattle and 5x sheep on the farm. This assumption allows us to write an equation that represents the number of cattle and sheep.

3. According to the problem statement, there are 24 more cattle than the number of sheep. So, we can write an equation based on this information: 3x = 5x - 24.

4. Solve the equation to find the value of x. Start by moving all the x terms to one side and the constant terms to the other side: 5x - 3x = 24.

5. Simplify the equation: 2x = 24.

6. Divide both sides of the equation by 2: x = 12.

Now that we have the value of x, we can determine the number of sheep on the farm by substituting x = 12 into the equation for the number of sheep: 5x = 5 * 12 = 60.

Therefore, there are 60 sheep on the farm.