A 115 cm segment is divided into three parts with one part 47 cm long and the other two parts equal. What is the length of one of the equal parts?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $24.99Unlock all

Prepare for the PSAT/NMSQT Test with our comprehensive quizzes. Use interactive flashcards and multiple-choice questions, complete with hints and explanations, to get ready for exam day!

Multiple Choice

A 115 cm segment is divided into three parts with one part 47 cm long and the other two parts equal. What is the length of one of the equal parts?

Explanation:
When two parts are equal, assign their common length as a variable and use the total length to set up an equation. Let the equal parts be x cm each. Then 47 + x + x = 115. That simplifies to 47 + 2x = 115, so 2x = 68 and x = 34. So one of the equal parts is 34 cm. Quick check: 47 + 34 + 34 = 115, which matches the total. Other options don’t fit: 47 would make all three parts at least 47, which already exceeds 115. 29 would give 47 + 29 + 29 = 105, not 115. 58 would give 47 + 58 + 58 = 163, also too large.

When two parts are equal, assign their common length as a variable and use the total length to set up an equation. Let the equal parts be x cm each. Then 47 + x + x = 115. That simplifies to 47 + 2x = 115, so 2x = 68 and x = 34. So one of the equal parts is 34 cm. Quick check: 47 + 34 + 34 = 115, which matches the total.

Other options don’t fit: 47 would make all three parts at least 47, which already exceeds 115. 29 would give 47 + 29 + 29 = 105, not 115. 58 would give 47 + 58 + 58 = 163, also too large.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy