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Word Problems - LCM & GCF

  •  English    12     Public
    Lowest Common Multiple & Greatest Common Factor Word Problems
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  • Tina & her friends ate out two nights in a row. They sat in groups of 12 the 1st night and groups of 10 the 2nd night. What is the smallest possible number of friends who are dining out?
    60 (LCM) 12,24,36,48,60 and 10,20,30,40,50, 60
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  • Jahmir wanted the Red race car to win and noticed that it’s number is divisible by lucky 8 & 12. What is the smallest possible number for the Red race car?
    24 (LCM) 12,24 and 8,16,24
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  • Dina has two cats that go out exploring before coming home to eat. Her grey cat returns every 9 hours and her black cat returns every 11 hours. When is the next time that both cats will be back home to eat at the same time?
    99 hours from now 9x11=99 (4 day and 3 hours)
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  • Mr C has 10 wire puzzles & 20 block puzzles that he wants to group into sets for his students who finish early. He wants to make as many sets as possible that are made up of the same combination. How many puzzles will be in each set?
    3 (1 wire and 2 block puzzles per set) GCF=10
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  • Ryden has 20 green tangerines & 12 kiwi. He wants to make as many fruit bowls as possible that have the same combination of whole fruit. How many fruit bowls can he make?
    4 (5 tangerines & 3 kiwi per bowl) GCF=4 (20=4x5 & 12=4x3)
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  • Sky has 15 blue frosted cupcakes and enough decorations for 10 of them. She wants to make as many cupcake plates as possible that have the same combination of decorated & undecorated cupcakes. How many cupcake plates can she make?
    5 15=5x3 & 10=5x2 GCF=5 (2 decorated & 1 undecorated per plate)
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  • Travis has 16 gold & 12 silver stars to use for his thank you cards. He wants to make as many cards as possible that have the same combination of stars. How many thank you cards can he make?
    4 (4 gold & 3 silver stars per thank you card!) GCF=4 (16=4x4 & 12=4x3)
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  • Staccati wants to taste test an = number of donuts from 2 bakeries without spending too much. The 1st bakery sells donuts in 2 / pack, & the 2nd bakery sell them in 5 / pack. What’s the least amount he will spend if they cost $1.25 each?
    $25 (10+10) x $1.25 (10 from each shop) LCM=10 2x5=10
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  • Jaylen's mom helped make an equal amount of muffins and cookies for a local fundraiser. The muffins were sold in 9 per pack & the cookies in 12 per pack. What is the smallest number of total packs mom made?
    7 packs total (4 packs of muffins and 3 packs of cookies) LCM=36 (9,18,27,36 & 12,24,36)
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  • Jaylen’s mom helped make an equal amount of muffins and cookies for a local fundraiser. The muffins were sold in 9 per pack & the cookies in 12 per pack. Muffins sold for $1 & Cookies sold for $.5. What was the amount his mom helped raise?
    $54
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  • Tina & her friends ate out two nights in a row. They sat in groups of 12 the 1st night and groups of 10 the 2nd night. If each person tipped at least $2 each night, what is the smallest total tip the waitstaff collected?
    at least $120 for each restaurant or more than $240 combined
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