What is the smallest number of ounces Randy and Abdullah could each - ProProfs Discuss
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What is the smallest number of ounces Randy and Abdullah could each place on their scale to make the two scales show the same weight?
Randy and Abdullah are using scales in science class. On his scale, Randy places metal balls that weigh 8 ounces each. On his scale, Abdullah places metal cones that weigh 12 ounces each.

What is the smallest number of ounces Randy and Abdullah could each place on their scale to make the two scales show the same weight?<br/>
Randy and Abdullah are using scales in science class. On his scale, Randy places metal balls that weigh 8 ounces each. On his scale, Abdullah places metal cones that weigh 12 ounces each.

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Asked by Noah, Last updated: Nov 09, 2024

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John Smith

John Smith

John Smith
John Smith

Answered Sep 08, 2016

Remember the least common multiple is the least whole number that is a multiple of each of two or more numbers. you need to find the smallest number that is a multiple of both 8 and 12. this is the least common multiple.write the prime factorization for each number.8 = 2 × 2 × 212 = 2 × 2 × 3repeat each prime factor the greatest number of times it appears in any of the prime factorizations above.2 × 2 × 2 × 3 = 24the least common multiple of 8 and 12 is 24. that means that the smallest number of pounds is 24, because 3 metal balls weighing 8 pounds each weigh 24 pounds in total and 2 metal cones weighing 12 pounds each weigh 24 pounds in total.the smallest number of ounces that randy and abdullah could each place on their scale is 24.
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