Kate needs to read 2 books over summer vacation. She doesn't have the books yet so she's not sure how many pages are in each book. Kate doesn't want to wait until the last minute to read the books so she is planning to read the same number of pages each day of her summer vacation. If Kate's summer vacation is 72 days long, how can she write a variable expression to represent the number of pages she will need to read each day

Considering the definition of an equation, the variable expression to represent the number of pages she will need to read each day is (x+y)/72.

Definition of equation

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

Equation in this case

In this case, let:

x equal the number of pages in the first book.
y equal the number of pages in the second book.

In total Kate will have to read x+y pages.

Kate's summer vacation is 72 days long and she is planning to read the same number of pages each day of her summer vacation.

So, the equation that represent the number of pages she will need to read each day is (x+y) pages / 72 days

Finally, the variable expression to represent the number of pages she will need to read each day is (x+y)/72.

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