The Lincoln Animal Shelter currently only has dogs and cats at the shelter. If the ratio of dogs to cats is 1 to 2, and there are a total of 21 animals at the shelter, how many of the animals are dogs?
let the number of dogs be x
let the number of cats be 2x
(note that dogs:cats = x:2x = 1:2)
x + 2x = 21
3x = 21
x = 7
so you have 7 dogs and 2x or 14 cats
check:
note dogs:cats = 7:14 = 1:2 , and 7+14 = 21
so all is good.
Help me please
Let's solve this step-by-step:
Step 1: Let's represent the number of dogs as "x".
Step 2: According to the given ratio, the number of cats would be twice the number of dogs, which is 2x.
Step 3: The total number of animals at the shelter is 21.
Step 4: Therefore, the equation becomes: x + 2x = 21.
Step 5: Combine like terms: 3x = 21.
Step 6: Divide both sides of the equation by 3: x = 7.
Step 7: So, there are 7 dogs at the shelter.
To find the number of dogs at the Lincoln Animal Shelter, we need to determine the ratio of dogs to the total number of animals.
Let's start by assuming the number of dogs is represented by x. According to the given ratio, the number of cats would be twice the number of dogs, which would be 2x.
We know that the total number of animals at the shelter is 21. So, we can write an equation based on this information:
x + 2x = 21
Combining like terms, we have:
3x = 21
Next, we can solve for x by dividing both sides of the equation by 3:
x = 21 / 3
x = 7
Therefore, there are 7 dogs at the Lincoln Animal Shelter.