Question

together, kai and max have a total of 60 books.

kai has 4 times as many books as max.

complete the statement.

kai has books.

Explanation:

Define variables for the books

Let \(k\) represent the number of books Kai has.
Let \(m\) represent the number of books Max has.

Set up the system of equations

Using the Linear Relationships concept, we translate the word problem into algebraic equations.
The total number of books is 60:

$$k + m = 60$$

Kai has 4 times as many books as Max:

$$k = 4m$$

Substitute and solve for Max's books

Substitute the second equation into the first equation:

$$4m + m = 60$$

Combine like terms:

$$5m = 60$$

Divide both sides by 5:

$$m = 12$$

Calculate Kai's books

Use the value of \(m\) to find \(k\):

$$k = 4(12)$$

Multiply the values:

$$k = 48$$

Answer:

Together, Kai and Max have a total of 60 books.

Kai has 4 times as many books as Max.

Complete the statement.

Kai has <blank>48</blank> books.