Hot dogs come in packages of 6. Hot dog buns come in a package of 8. Antonio will buy the same number of hot dogs as hot dog buns. How many hot dogs could he buy?

1 Answer
smendyka
Jan 23, 2018

See a solution process below.

Explanation:

If Antonio must purchase full packages of hot dogs and hot dog buns, and, Antonio must purchase the same number of each, this is a Least Common Multiplier problem.

The Multiples of #6# are: #6, 12 , 18, color(red)(24), 30#

The Multiples of #8# are: #8, 16 , color(red)(24), 32, 40#

The Least Common Multiple of these two numbers is #24#

So, Antonio could buy 24 of both hot dogs and hot dog buns.

Or, he could buy multiples of 24:

#24, 48, 72, ...#

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