Carson bought some new sneaker on sale for $ 250 \$250 . The sale price was 65 % 65\% of the original price. What was the original price?

Carson bought some new sneakers on sale for $250 The sale price was 65% of the original price. What was the original price? So here we know the partial amount and we know the percent, but what we don't know is the original price or our full amount. So setting up this equation, we have our partial amount of $250 is equal to our percent written as a decimal, 0.65, times our whole amount, which we'll call x. Solving for x, we divide both sides by 0.65, and we get x, our original price, is about $384.62. That is our final answer.

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1. Review of Real Numbers1h 33m

Evaluating Exponents
15m

Evaluating Expressions
15m

Translating Phrases to Expressions
16m

Simplifying Expressions
44m

2. Linear Equations and Inequalities2h 56m

Solving Linear Equations
1h 27m

Linear Inequalities in One Variable
46m

Set Operations and Compound Inequalities
42m

3. Solving Word Problems1h 25m

Introduction to Problem Solving
24m

Formulas
25m

Percent Problem Solving
36m

4. Graphs and Functions2h 48m

The Rectangular Coordinate System
27m

Graph Linear Equations Using Intercepts
11m

Slope of a Line
32m

Slope-Intercept Form
25m

Point Slope Form
13m

Introduction to Relations and Functions
25m

Function Notation
15m

Composition of Functions
17m

5. Systems of Linear Equations1h 12m

Solving Systems of Linear Equations by Graphing
29m

Solving Systems of Linear Equations by Substitution
15m

Solving Systems of Linear Equations by Elimination
27m

7. Factoring1h 30m

Factoring by Greatest Common Factor & Grouping
26m

Factoring Trinomials of the Form x² + bx + c
11m

Factoring Trinomials of the Form ax² + bx + c
37m

Quadratic Equations & Applications
14m

8. Rational Expressions and Functions2h 21m

Simplifying Rational Expressions
33m

Least Common Denominators
32m

Adding and Subtracting Rational Expressions with Different Denominators
32m

Rational Equations
44m

9. Roots, Radicals, and Complex Numbers2h 33m

Introduction to Radical Expressions
11m

Simplifying Radical Expressions
27m

Adding and Subtracting Radicals
19m

Multiplying, Dividing, and Rationalizing Radicals
23m

Introduction to Complex Numbers
18m

Multiplying and Dividing Complex Numbers
51m

10. Quadratic Equations and Functions1h 23m

The Square Root Property
25m

Completing the Square
26m

The Quadratic Formula
31m

11. Inverse, Exponential, & Logarithmic Functions1h 5m

Introduction to Inverse Functions
25m

Exponential Functions
13m

Introduction to Logarithmic Functions
26m

12. Conic Sections & Systems of Nonlinear Equations58m

Graphing Circles
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10m

13. Sequences, Series, and the Binomial Theorem Coming soon

Introduction to Sequences
0m

Arithmetic Sequences
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Factorials
0m

3. Solving Word Problems

Percent Problem Solving

Intermediate Algebra

3. Solving Word Problems

Percent Problem Solving

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Multiple Choice

Carson bought some new sneaker on sale for $dollar sign 250$ . The sale price was $65 percent sign$ of the original price. What was the original price?

$dollar sign 412.50$

$dollar sign 384.62$

$dollar sign 162.50$

$dollar sign 337.50$

Previous problemNext problem

Verified step by step guidance

Identify the variables: Let the original price be represented by $x$ dollars.

Translate the problem into an equation: The sale price is 65% of the original price, so we write \$0.65 \times x = 250$.

Isolate the variable $x$ by dividing both sides of the equation by 0.65: $x = \frac{250}{0.65}$.

Set up the division to find the original price without calculating the final value yet.

Interpret the result as the original price before the discount was applied.

6:10m

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Struggling with Intermediate Algebra?

Carson bought some new sneaker on sale for $250\$250. The sale price was 65%65\% of the original price. What was the original price?

Watch next

Carson bought some new sneaker on sale for $dollar sign 250$ . The sale price was $65 percent sign$ of the original price. What was the original price?