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Linear and Quadratic Equations · Question 37 of 66

Question 37

MediumOriginal question

Ritu bought 14 items for a class project, some pens at ₹15 each and some notebooks at ₹40 each, and paid ₹360. How many notebooks did she buy?

Options for question 37

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Let nn be the number of notebooks, so 14−n14 - n pens.

  2. 40n+15(14−n)=36040n + 15(14 - n) = 360, so 25n+210=36025n + 210 = 360.

  3. 25n=15025n = 150, giving n=6n = 6. (Check: 240+120=360240 + 120 = 360.)

Worth noting

8 is the number of pens, and 9 is 360÷40360 \div 40, which assumes she bought only notebooks.

Concept
Mixture of two priced items with a fixed total count
Typical time
70 s
Your time
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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.