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Q12.

Expert-verified

Pre-algebra

Found in: Page 274

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Solve the equation.
$\frac{1}{4} x - \frac{3}{8} = 9$

The solution of $\frac{1}{4} x - \frac{3}{8} = 9$ is $x = \frac{75}{4}$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1 . Given

The given equation is $\frac{1}{4} x - \frac{3}{8} = 9$ .

Step 2 . To determine

We have to solve the equation $\frac{1}{4} x - \frac{3}{8} = 9$ .

Step 3 . Calculation

To solve the equation, we try to get x alone on a side:

$\begin{matrix} \frac{1}{4} x - \frac{3}{8} = 9 \\ \frac{1}{4} x = 9 + \frac{3}{8} [group like terms] \\ \frac{1}{4} x = \frac{72 + 3}{8} [write sum of numerator over denominator] \\ \frac{1}{4} x = \frac{75}{8} [add] \\ x = \frac{75}{4} [multiply both side with 4] \end{matrix}$

So, the solution of the equation $\frac{1}{4} x - \frac{3}{8} = 9$ is $x = \frac{75}{4}$ .

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Extended Problem Solving Your family used two full tanks of gasoline on a road trip. Your car drives about 25 miles per gallon, and the tank holds 12 gallons of gasoline.

a. Find the approximate number of gallons of gasoline used on the trip.

b. Find the approximate number of miles you drove on the trip.

c. Calculate Assume gasoline costs $4.50 per gallon. How much did you spend per mile on gasoline?

d. Apply You have $60 to spend on gasoline for another trip. The trip is 350 miles. You spend the same amount per mile on gasoline as on the first trip. Do you have enough money for gasoline? Explain.

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