Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Cora is creating potpourri bowls using $18$ bags of shredded bark and $12$ bags of flower petals. If she wants to make all the potpourri bowls identical, containing the same number of bags of shredded bark and the same number of bags of flower petals, what is the greatest number of potpourri bowls Cora can create? $\newline$ $\_\_\_\_$ bowls

View step-by-step help

View step-by-step help

GCF and LCM: word problems

Full solution

Q. Cora is creating potpourri bowls using

18

bags of shredded bark and

12

bags of flower petals. If she wants to make all the potpourri bowls identical, containing the same number of bags of shredded bark and the same number of bags of flower petals, what is the greatest number of potpourri bowls Cora can create?

\newline

\_\_\_\_

bowls

Find GCF: Determine the greatest common factor (GCF) of $18$ and $12$ to find the maximum number of identical bowls Cora can make. $\newline$ Calculation: Factors of $18$ are $1, 2, 3, 6, 9, 18$ . Factors of $12$ are $1, 2, 3, 4, 6, 12$ . The common factors are $1, 2, 3, 6$ . The highest is $6$ .
Divide by GCF: Use the GCF to divide the number of bags of each type by $6$ to ensure each bowl is identical and there are no leftovers. $\newline$ Calculation: $18$ bags of shredded bark $\div 6 = 3$ bags per bowl; $12$ bags of flower petals $\div 6 = 2$ bags per bowl.

More problems from GCF and LCM: word problems

Question

The Huffman Corporation would like to donate

15

20

printers to local schools. The corporation would like to make sure that each school receives the same set of computers and printers, with none left over. What is the greatest number of schools that The Huffman Corporation can donate to?

\newline

\_\_\_\_

Posted 9 months ago

Question

What is the greatest common factor of

2

14

\newline

Posted 9 months ago

Question

What is the least common multiple of

6

12

\newline

Posted 9 months ago

Question

Which numbers are factors of

20

? Select all that apply.

\newline

17

\newline

5

\newline

9

\newline

7

Posted 7 months ago

Question

Kris is wrapping Christmas lights around the railing that runs around three sides of his square porch If one side of his porch is

12

feet long, and each strand of his Christmas lights will wrap around a

70

-inch length of the railing, what is the minimum number of strands Kris needs to completely wrap the porch railing?

\newline

6

\newline

7

\newline

8

\newline

9

Posted 8 months ago

Question

What is the greatest common factor of

35 y^{4}, 14 y^{4}

63 y^{4}

Posted 10 months ago

Question

What is the greatest common factor of

60 \mathrm{w}, 36 w^{2}

24 w^{4}

Posted 8 months ago

Question

Find the greatest common factor of

75

8

21

Posted 10 months ago

Question

Find the greatest common factor of

110

40

120

Posted 10 months ago

Question

What is the greatest common factor of

6 a, 8 a^{2}

14

Posted 10 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant