# Algebra

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A teacher wants to give each sudent in his class some candy. He wants everyone to get an equal number of pieces. The teacher has fewer than 85 pieces of candy. If he arranges the pieces in froups of 2, 3 or 4 for each student, he wil have 1 piece left over. if he uses groups of 5, he will have none left over. How many pieces of candy does he have?

I am so lost, it's not even funny. what could I do other than guess and check?
Thanks!

• Algebra -

The number must be a multiple of 5; any number that ends in 0 or 5 is a multiple of 5. The number is not a multiple of 2, 3, or 4.

That should get you started.

• Algebra -

if guessed and checked, and I found it to be 25.

5 x 5 = 25
4 x 6 = 24
3 x 8 = 24
2x 12 = 24
so, do you have to guess and check, or is there another way to find that?

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