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Linear and Quadratic Equations · Question 35 of 66

Question 35

MediumOriginal question

Ishaan's wallet has only ₹50 and ₹10 notes, worth ₹2,800 in all. He has twice as many ₹10 notes as ₹50 notes. How many notes does he have altogether?

Options for question 35

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Let there be ff notes of ₹50, so 2f2f notes of ₹10.

  2. Value: 50f+10(2f)=70f=280050f + 10(2f) = 70f = 2800, so f=40f = 40.

  3. Total notes =40+80=120= 40 + 80 = 120.

Worth noting

40 and 80 are the counts of each kind; the question asks for all the notes. 56 comes from dividing ₹2,800 by 50 and ignoring the ₹10 notes.

Concept
Note-counting problem with a ratio between the counts
Typical time
70 s
Your time
—
The rule this testsWord problems into equations
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Ten questions from Linear and Quadratic Equations, at your own pace.

Practise this chapter →

Ten questions from Linear and Quadratic Equations, at your own pace.