The Robinson's have quite a lot of family pets. They have 3 times as many budgies as they have cats and there are a total of 30 legs between them.

Complete the following statement.

The Robinson's have
____cats and
____budgies.

I need help, can someone show me the working out so i can answer similar questions

B = 3C

2B + 4C = 30

Substitute 3C for B in the second equation to solve for C, then insert value in the first equation to find B.

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To solve this problem and find the number of cats and budgies, you can create a system of equations based on the given information.

Let's represent the number of cats as "c" and the number of budgies as "b".

From the given statement, we know that the Robinson's have 3 times as many budgies as cats. So, we can write the first equation as:

b = 3c (equation 1)

Additionally, we know that the total number of legs between the cats and budgies is 30. Cats have 4 legs each, and budgies have 2 legs each. So, we can write the second equation as:

4c + 2b = 30 (equation 2)

Now, we have a system of two equations with two variables:

b = 3c (equation 1)
4c + 2b = 30 (equation 2)

To solve this system, we can use the method of substitution.

Step 1: Substitute the value of "b" from equation 1 into equation 2:

4c + 2(3c) = 30

Step 2: Simplify and solve for "c":

4c + 6c = 30
10c = 30
c = 3

Now, we have found the value of "c". To find the value of "b", substitute the value of "c" into equation 1:

b = 3(3)
b = 9

Therefore, the Robinson's have 3 cats and 9 budgies.

In summary, to find the number of cats and budgies, create a system of equations based on the given information and solve using the method of substitution.