Question

Alice and Carl each have the same number of marbles. Alice puts her marbles into groups of four with none left over. Carl puts his marbles into groups of 10 with none left over. What is the LEAST total number of marbles that Alice and Carl can each have?

Answer 1

Hey

Since there is none left over for both groups of 10 and 4, the number of marbles must be an LCM of 10 and 4, which is 20. Check: 20/10=2 groups of 10, 20/4=5 groups of 4. Thus the LEAST number of marbles each has must be 20, while multiples of 20 are possibilities, such as 40, 60, 80,100, ..

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