Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![### Word Problem
**Problem Statement:**
A restaurant sold 350 less hotdogs than hamburgers. Altogether, the restaurant sold 700 hotdogs and hamburgers. How many of each did they sell?
**Solution:**
To solve this problem, let's use algebraic representation:
- Let \( x \) represent the number of hamburgers sold.
- Then the number of hotdogs sold will be \( x - 350 \).
According to the problem, the sum of hotdogs and hamburgers equals 700:
\[ x + (x - 350) = 700 \]
Simplify and solve for \( x \):
1. Combine like terms: \( 2x - 350 = 700 \).
2. Add 350 to both sides: \( 2x = 1050 \).
3. Divide by 2: \( x = 525 \).
Thus, the restaurant sold 525 hamburgers.
To find the number of hotdogs:
\[ 525 - 350 = 175 \]
So, the restaurant sold 175 hotdogs.
### Calculators
Below the problem is a virtual calculator interface with keys for basic math functions and symbols, including square root, percent, and pi.
**Extra Notes:**
- The page number in the document indicates this is page 5 of 16.
- A progress bar displays the session's progress, with a timer reading "34 minutes".
Key applications shown include a document, a spreadsheet, a presentation tool, and a web browser.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c52312f-013d-4372-9e71-884aedd23347%2Fa467e6cd-d32e-47cc-ba91-5a05537abcfa%2Ffiq9qhh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Word Problem
**Problem Statement:**
A restaurant sold 350 less hotdogs than hamburgers. Altogether, the restaurant sold 700 hotdogs and hamburgers. How many of each did they sell?
**Solution:**
To solve this problem, let's use algebraic representation:
- Let \( x \) represent the number of hamburgers sold.
- Then the number of hotdogs sold will be \( x - 350 \).
According to the problem, the sum of hotdogs and hamburgers equals 700:
\[ x + (x - 350) = 700 \]
Simplify and solve for \( x \):
1. Combine like terms: \( 2x - 350 = 700 \).
2. Add 350 to both sides: \( 2x = 1050 \).
3. Divide by 2: \( x = 525 \).
Thus, the restaurant sold 525 hamburgers.
To find the number of hotdogs:
\[ 525 - 350 = 175 \]
So, the restaurant sold 175 hotdogs.
### Calculators
Below the problem is a virtual calculator interface with keys for basic math functions and symbols, including square root, percent, and pi.
**Extra Notes:**
- The page number in the document indicates this is page 5 of 16.
- A progress bar displays the session's progress, with a timer reading "34 minutes".
Key applications shown include a document, a spreadsheet, a presentation tool, and a web browser.
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