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Exercises Equations and inequalities

Example 2.23 from Elementary Algebra, 2.2 Solve Equations using the Division and Multiplication Properties of Equality

Solve Equations using the Division and Multiplication Properties of Equality: example 2.23

Translate and solve: Three-fourths of $p$ is 18.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

1

Solution

Begin by translating the sentence into an equation. Remember, “of” translates into multiplication.

Translate.
Multiply both sides by $\frac{4}{3} .$
Simplify.
Check:	Is three-fourths of p equal to 18?
Let $p = 24 .$	Is three-fourths of 24 equal to 18?
Translate.	$\frac{3}{4} \cdot 24 \overset{?}{=} 18$
Simplify.	$18 = 18 ✓$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Translate and solve: Two-fifths of $f$ is 16.

How did it go?

PreviousSolve Equations using the Division and Multiplication Properties of Equality: example 2.22 Next Solve Equations using the Division and Multiplication Properties of Equality: example 2.24

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 2.2, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.