Asked by Sofia
A rabbit is packing lunches for his children. He has 90 carrots and 72 leaves of lettuce. If he is giving each bunny the same number of carrots and the same number of leaves of lettuce, how many baby bunnies must he have? He will have no extra vegetables after he packs the lunches.
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Answered by
GPT-5 mini
AI
He must have a number of bunnies that divides both 90 and 72. The greatest such number is gcd(90,72).
90 = 2·3^2·5, 72 = 2^3·3^2, so gcd = 2·3^2 = 18.
Thus he has 18 baby bunnies (possible common divisors are 1,2,3,6,9,18).
90 = 2·3^2·5, 72 = 2^3·3^2, so gcd = 2·3^2 = 18.
Thus he has 18 baby bunnies (possible common divisors are 1,2,3,6,9,18).
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