Multiplication Comparisons

Question

There are 5 times as many yellow labs as terries in the dog park. If there are a total of 24 dogs how many dogs are terries?

Answer 1

There are 5 times as many yellow labs as terries in the dog park. If there are a total of 24 dogs how many dogs are terries?

number of terries = x

number of yellow labs = y

x+y = 24

x = 5y

so

5y + y = 24

6y = 24

y= 4

x= 5y =5(4)=20

number of terries = x = 20

number of yellow labs = y = 4

Answer 2

Hi, Jacqueline.

IF there are 5 times as many yellow labs as terriers, then let's call the number of terriers, x.

Then there are 5x yellow labs.

If, altogether, there are 24 dogs, then:

5x + x = 24

6x = 24

x = 24/6 = 4

So there are 4 terriers and 5 times as many yellow labs.

So, there are 5x4 = 20 yellow labs.

So there are 4 terriers and 20 yellow labs.

Let's check our answers:

4 + 20 = 24.....The answer is correct.

Answer 3

The total number of dogs in the park is 24. Assuming all dogs at the park are either terriers or labs,

number of terriers + number of labs = total number of dogs = 24

Since number of labs = 5 x number of terriers, let

terriers = x and labs = 5x

Substituting this into...

number of terriers + number of labs = 24, we get...

x + 5x = 24

6x = 24 add like things x + 5x = 6x

6x/6 = 24/6 since we know what 6x equals, we divide both sides by 6 to find what x equals

x = 4

Since x is the number of terriers at the park we see there are 4 terriers.