Question

1. at the college bookstore, alexis purchased a math textbook and a biology textbook that cost a total of $99, not including tax. if the price of the math textbook is $3 more than 2 times the price of the biology textbook, how much does each book cost?

Explanation:

Step1: Set up variables

Let the price of the biology textbook be \(x\) dollars. Then the price of the math textbook is \(2x + 3\) dollars.

Step2: Form an equation

The total cost of the two textbooks is \(\$99\). So, \(x+(2x + 3)=99\).
Simplify the left - hand side: \(x+2x+3 = 3x+3\).
The equation becomes \(3x+3 = 99\).

Step3: Solve for \(x\)

Subtract \(3\) from both sides of the equation: \(3x+3−3=99−3\), which gives \(3x=96\).
Divide both sides by \(3\): \(x=\frac{96}{3}=32\).

Step4: Find the price of the math textbook

Substitute \(x = 32\) into the expression for the math textbook's price \(2x+3\).
\(2\times32 + 3=64 + 3=67\).

Answer:

The biology textbook costs \(\$32\) and the math textbook costs \(\$67\).