A pet survey found that the ratio of dogs to cats is 2/5. Which proportion shows the number of dogs if the number of cats is 140?
2/5 = x/ 140
Cross multiply,
5x = 280
x =
To find the number of dogs if the number of cats is 140, we can set up a proportion using the given ratio.
Let's assign the number of dogs as "d" and the number of cats as 140.
The ratio of dogs to cats is 2/5, which can be written as:
d/140 = 2/5
To find the value of "d," we need to cross-multiply:
5d = 2 * 140
5d = 280
Now, we can solve for "d" by dividing both sides of the equation by 5:
d = 280/5
d = 56
Therefore, the proportion that shows the number of dogs if the number of cats is 140 is:
56/140.
To solve this problem, we can set up a proportion using the given ratio of dogs to cats. A proportion is an equation that states that two ratios are equal. Let's call the number of dogs "x" and the number of cats "140".
The given ratio is 2/5, which means that for every 2 dogs, there are 5 cats. We can set up the proportion as:
(2 dogs / 5 cats) = (x dogs / 140 cats)
To solve for "x", we can cross-multiply:
2 * 140 = 5 * x
280 = 5 * x
Now, divide both sides of the equation by 5 to solve for "x":
280 / 5 = x
x = 56
So, the proportion that shows the number of dogs if there are 140 cats is:
2 dogs / 5 cats = 56 dogs / 140 cats