Grade 5

Read the puzzle to the students. You might encourage student to talk about ways to solve the puzzle and to record the puzzle in symbolic notation and to ask themselves whether the puzzle has any solutions that are not whole numbers.

I thought of number, added 4 to it, and multiplied that total by 5. The result was a two-digit number whose tens digit is 6.

Symbolic notation: 5 × (n + 4)

- The story tells us that after multiplying by 5, we get a number that is in the 60s.
- If that number is 60 or 65, then before multiplying by 5 we had 12 or 13.
- The “n” by itself, is 4 less than that; it could be 8 or 9.
- Would 8.5 also work? No, but 8.4 would!

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