Manny makes dinner using 1 box of pasta and 1 jar of sauce. If pasta is sold in pckages of 6 boxes and sauce is sold in packages of 3 jars, what is the least number of dinners that Manny can make without any supplies left over?
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The answer is 6. If it takes 1 box of pasta AND 1 jar of sauce to make ONE dinner, and we want to know the least number of dinners that Manny can make without any supplies left over, if: pasta is sold in packages of 6 boxes and sauce is sold in packages of 3 jars.... Then, because we have to have a complete package of pasta for one dinner, but do not necessarily need an entire jar of sauce, the answer is 6 dinners, since pasta is sold with 6 in one package (we could use only 1/2 jar of sauce per dinner).
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When finding the answer to this type of question, the key word is "least". This tells us that we are looking for the least common multiple of the two numbers. So, to find the answer, you write out the multiples of both numbers, until you find the first match. That is your least common multiple. For the number 6, we have 6,12,18,24,36... and for the number 3 we have 3,6,9,12,15... So we see that 6 is the first common number and that's your answer.
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