# Algebra Puzzle – Challenge 31

Let's look at another great math puzzle to help improve your critical thinking and creative thinking!

## Challenge:

Sophia has a guitar lesson three times a week and Lukas has a Math lesson every other week. In a given term, Sophia has 40 more lessons than Lukas. How many weeks long is their term?

**A-** 8

**B-** 12

**C-** 16

**D-** 20

**E-** 24

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The correct answer is C.

Sophia has 6 lessons in two weeks and Lukas has one lesson in two weeks. Therefore, the difference is 5 lessons for two weeks or 2.5 lessons per week. The difference is 40 lessons. So, 40 ÷ 2.5 = 16

Their term is 16 weeks.

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