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Sabina went to a bank… (Class 10 Maths Basic 2023, Q26a)

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MathsCBSE Class 10 · Basic · Board exam 2023, set 430/5/1 · 3 marks · Short answer

CBSE Class 10 Mathematics Basic 2023: question 26(a)

Set in the CBSE Class 10 board exam of 2023, paper 430/5/1, section C, question 26(a), for 3 marks. Try it first; the hints and our step-by-step solution are below.

Q26(a) · 3 marks · Short answerCompetency-basedPair of Linear Equations in Two Variables

Sabina went to a bank ATM to withdraw ₹ 2,000. She received ₹ 50 and ₹ 100 notes only. If Sabina got 25 notes in all, how many notes of ₹ 50 and ₹ 100 did she receive?

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 430/5/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

Use two variables: one for the count of each type of note.

Hint 2

One equation comes from the number of notes, the other from the total money.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. Let the number of ₹50 notes be and of ₹100 notes be . Total notes: …(i)

    1 mark

  2. Total amount: …(ii)

    1 mark

  3. Subtracting (i) from (ii): ; then . So she received 10 notes of ₹50 and 15 notes of ₹100.

    1 mark

Answer: ₹50 notes = 10, ₹100 notes = 15

Where the marks are

  • Forms (1 mark)
  • Forms (1 mark)
  • Solves to get , (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Pair of Linear Equations in Two Variables, one at a time, marked against the answer key and marking points.Back to the full paper2023 board paper, set 430/5/1 (Basic): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.