Problem 16 · 2020 Math Kangaroo
Easy
Number Theory
division
Grandma has just baked 23 cupcakes and wants to give the same number of them to each of her six grandchildren, eating what is left over. At least how many cupcakes will she have left to eat?
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Answer: E — 5
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Hint 1 of 2
Give each of the 6 children the same number of cupcakes, as many as you can.
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Hint 2 of 2
Whatever does not fit into an equal share is what Grandma eats.
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Approach: share equally, then see what is left over
- Give each child 3 cupcakes: that uses 6 × 3 = 18 cupcakes.
- Giving each a 4th would need 24, but there are only 23, so 3 each is the most that shares evenly.
- That leaves 23 − 18 = 5 cupcakes for Grandma to eat.
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