Problem 10 · 2019 Math Kangaroo
Medium
Algebra & Patterns
substitution
Andreas shares some apples equally among six baskets. Boris shares the same number of apples equally among five baskets. Boris notices that each of his baskets has two more apples than each of Andreas's baskets. How many apples did Andreas share out?
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Answer: A — 60
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Hint 1 of 2
Let the total number of apples be one unknown and write each person's per-basket amount.
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Hint 2 of 2
Boris's basket has 2 more than Andreas's basket.
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Approach: set up one equation in the total
- Let the total be x apples. Andreas puts x/6 in each basket, Boris puts x/5 in each.
- Boris's basket has 2 more: x/5 − x/6 = 2.
- That gives x/30 = 2, so x = 60 apples.
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