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Question

# Shane returned from a trip to Las Vegas with $\ 300.00$, which was $50 \%$ more money than he had at the beginning of the trip. How much money did Shane have at the beginning of his trip?

Solution

Verified
Step 1
1 of 2

$\textbf{Step 1: Read and list.}$

$\textit{Known items:}$ The final amount of money Shane has is $300 which was 50% more money than the initial amount of money he had. \ \textit{Unknown items:} Initial amount of money Shane had at the beginning of his trip.\ \textbf{Step 2: Assign a variable and translate information.}\ Let$x$be the initial amount of money Shane had at the beginning of his trip.\ \textbf{Step 3: Reread and write an equation.}\$300 is 50% more than the initial amount of money Shane had.\ [300=x+0.5x]

\textbf{Step 4: Solve the equation.}\

Combine similar terms on the right side: [300=1.5x] Divide both sides by 1.5: [200=x]

\textbf{Step 5: Write the answer.}\\color{#c34632}{\text{Shane had $200 at the beginning of his trip.}}\ \textbf{Step 6: Reread and check.}\ 50% of$200 is \$100.$\200+\100=\300$ which confirms our answer.

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