Algebra Puzzle – Challenge 53

Algebra Puzzle - Challenge 53 is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.

Try to solve this interesting puzzle and critical thinking problem to learn more tips & tricks in mathematics.

Algebra Puzzle – Challenge 53

Challenge:

Nicole bought some marbles. If she had bought four times as many as she did, she would have 33 more. How many marbles did she buy?

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The correct answer is 11.

Let x be the number of marbles Nicole bought. Then:
4x = x + 33 → x = 11
Nicole bought 11 marbles. If she had bought four times as many as she did (4 × 11 = 44), she would have 33 more marbles.
(11 + 33 = 44)

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