Please help me answer this question
At the Cats galore cat show, 1/2 cat were Siamese, 1/6 were Persian, 1/5 were Abyssinian and 4 cats were tabby. how many cats were at the show? write an equation and solve it
Thank you BJ
Try this problem yourself, following the response I just posted for your last question.
What is the answer
To determine the total number of cats at the show, we need to set up an equation based on the given information.
Let's assume the total number of cats at the show is represented by "x."
According to the information provided:
- 1/2 of the cats were Siamese, which means there were 1/2 * x = x/2 Siamese cats.
- 1/6 of the cats were Persian, which means there were 1/6 * x = x/6 Persian cats.
- 1/5 of the cats were Abyssinian, which means there were 1/5 * x = x/5 Abyssinian cats.
- Additionally, there were 4 tabby cats.
Since we want to find the total number of cats, the equation becomes:
x/2 + x/6 + x/5 + 4 = x
To solve this equation, we need to get rid of the denominators. The least common denominator (LCD) of 2, 6, and 5 is 30, so we can multiply both sides of the equation by 30:
30 * (x/2) + 30 * (x/6) + 30 * (x/5) + 30 * 4 = 30 * x
15x + 5x + 6x + 120 = 30x
Combining like terms, we have:
26x + 120 = 30x
To isolate the x term, subtract 26x from both sides:
120 = 30x - 26x
120 = 4x
To solve for x, divide both sides by 4:
120/4 = x
x = 30
Therefore, there were 30 cats at the Cats galore cat show.