the ratios of cats to dogs at the park was1:45. if there were 12 dogs, how many cats were at the park
To find the number of cats at the park, you need to set up a proportion based on the given ratio.
Since the ratio of cats to dogs is 1:45, you can write the proportion as:
1 (cat) / 45 (dogs) = X (cats) / 12 (dogs)
Cross-multiplying, you get:
1 * 12 = 45 * X
12 = 45X
Solving for X (the number of cats), you have:
X = 12 / 45
X ≈ 0.2667
Since you cannot have a fraction of a cat, the number of cats at the park would be 0 (or rounded down to 0, if you prefer whole numbers).
To determine the number of cats at the park, we first need to find the ratio of cats to dogs given that the ratio of cats to dogs is 1:45.
The given ratio shows that for every 1 cat, there are 45 dogs at the park.
Since there were 12 dogs mentioned, we can set up a proportion to find the number of cats:
1 cat / 45 dogs = X cats / 12 dogs
Cross-multiplying the proportion, we get:
45 * X = 1 * 12
Simplifying the equation:
45X = 12
Dividing both sides of the equation by 45:
X = 12 / 45
Calculating the value:
X ≈ 0.267
The approximate number of cats at the park is 0.267. However, since we cannot have a fraction of a cat, we can round the value to the nearest whole number. Thus, there were approximately 0 cats at the park.