Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Bonnie is buying AA batteries and D batteries. The store sells AA batteries in packs of $4$ and D batteries in packs of $2$ . If Bonnie wishes to buy the same number of AA and D batteries, what is the smallest number of each battery type that she can buy? $\newline$ $\_\_\_\_\_$ batteries

View step-by-step help

View step-by-step help

GCF and LCM: word problems

Full solution

Q. Bonnie is buying AA batteries and D batteries. The store sells AA batteries in packs of

4

and D batteries in packs of

2

. If Bonnie wishes to buy the same number of AA and D batteries, what is the smallest number of each battery type that she can buy?

\newline

\_\_\_\_\_

batteries

Identify Battery Pack Sizes: Bonnie needs the same number of AA and D batteries. AA batteries come in packs of $4$ , and D batteries come in packs of $2$ . To find the smallest number of each type she can buy, we need to find the least common multiple (LCM) of the pack sizes.
Calculate Least Common Multiple: Calculate the LCM of $4$ (AA batteries per pack) and $2$ (D batteries per pack). The multiples of $4$ are $4, 8, 12, 16, extellipsis$ and the multiples of $2$ are $2, 4, 6, 8, extellipsis$ The smallest common multiple is $4$ .
Determine Minimum Purchase Quantity: Since the LCM of the pack sizes is $4$ , Bonnie can buy $4$ AA batteries and $4$ D batteries to have equal amounts of each type.

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