Question

read the problem.
brody just bought a new mountain bike! the bike is regularly priced at $240, but he got it on sale for 25% off the regular price. how much money did brody save?
which equation can you use to solve the problem?
\\(\frac{25}{100} = \frac{240}{?}\\) \\(\frac{100}{25} = \frac{?}{240}\\) \\(\frac{25}{100} = \frac{?}{240}\\) \\(\frac{25}{240} = \frac{?}{100}\\)
how much money did brody save?
$

Explanation:

Part 1: Which equation to use

To find the savings (let the savings be \(?\)), we know that 25% (or \(\frac{25}{100}\)) of the regular price (\(240\)) is the savings. So the proportion is \(\frac{25}{100}=\frac{?}{240}\), as we're relating the percentage saved (25%) to the amount saved (?) over the total price (240).

Step1: Set up the proportion

We use the equation \(\frac{25}{100}=\frac{x}{240}\) (let \(x\) be the savings).

Step2: Cross - multiply

Cross - multiplying gives \(100x = 25\times240\).

Step3: Calculate the right - hand side

\(25\times240 = 6000\).

Step4: Solve for \(x\)

Divide both sides by 100: \(x=\frac{6000}{100}=60\).

Answer:

\(\boldsymbol{\frac{25}{100}=\frac{?}{240}}\)

Part 2: How much money did Brody save?