Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 10MathematicsPair of Linear Equations in Two VariablesAlgebraic methods: Substitution method and Elimination method.MediumLevel 57
0 reads0 ratings0 helpful

The price of an adult ticket is (x) and a child ticket is (y). If (2x+3y=310) and (3x+2y=340), what is the adult ticket price?

Advertisement

Answer and explanation

Correct answer: ₹80

Using elimination, multiply the first equation by 3 and the second equation by 2: (6x+9y=930) and (6x+4y=680). Subtracting gives (5y=250), so (y=50). Substituting this into (3x+2y=340) gives (3x+100=340), hence (x=80). Therefore, the correct answer is ₹80. A value such as ₹70 does not satisfy both equations together. Exam tip: In elimination, first make the coefficients of one variable equal and then subtract the equations.

Related tags

Pair Of Linear EquationsElimination MethodSubstitution MethodTicket PriceWord ProblemClass 10 Mathematics

Frequently asked questions

What is the correct answer to this question?

₹80

Why is this the correct answer?

Using elimination, multiply the first equation by 3 and the second equation by 2: (6x+9y=930) and (6x+4y=680). Subtracting gives (5y=250), so (y=50). Substituting this into (3x+2y=340) gives (3x+100=340), hence (x=80). Therefore, the correct answer is ₹80. A value such as ₹70 does not satisfy both equations together. Exam tip: In elimination, first make the coefficients of one variable equal and then subtract the equations.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Algebraic methods: Substitution method and Elimination method..

Was this question useful?

No ratings yetWrite a review / Rate this question

Student Reviews

No published reviews yet.

KEEP PRACTISING

10 more MCQs
  1. 1In the equation \(2x-y=4\), what is the value of \(y\) when \(x=3\)?
  2. 2Which equation is obtained by simplifying (6x+3y=12)?
  3. 3What is the point of intersection of the lines \(4x+3y=34\) and \(4x-y=10\)?
  4. 4If the lines \(x+y=9\) and \(kx+3y=23\) both pass through the point \(\left(4,5\right)\), what is the value of \(k\)?
  5. 5While solving a pair of linear equations in two variables by the elimination method, in which situation can one variable be eliminated directly?
  6. 6What is the \(x\)-coordinate of the point of intersection of the lines \(4x+5y=31\) and \(3x-2y=1\)?
  7. 7If the two lines have a unique point of intersection (r,s) that satisfies (3r+s=19) and (r-s=1), what is the value of (r+s)?
  8. 8If the unique point of intersection of two lines is (r,s) and the lines are represented by (4r+s=29) and (r-s=1), what is the value of (r+s)?
  9. 9What is the solution of the equations (x+y=5) and (x-y=1)?
  10. 10In the equations (2x+y=7) and (x=2), what is the value of (y)?
Advertisement