QuestionA store got 8,802 golf balls. Which option is possible? A) 517 boxes of 16 B) 486 boxes of 17 C) 522 boxes of 16 D) 489 boxes of 18

Studdy Solution

STEP 1

Assumptions1. The store received a total of8,802 golf balls. . The golf balls are packed in boxes, with each box containing a fixed number of golf balls.
3. The number of golf balls in each box is either16,17, or18.

STEP 2

We need to check each option to see if the product of the number of boxes and the number of golf balls per box equals the total number of golf balls received by the store. The equation for this is $Total\, golf\, balls = Number\, of\, boxes \\times Golf\, balls\, per\, box$

STEP 3

Let's start with option A. Plug in the given values for the number of boxes and golf balls per box.
$Total\, golf\, balls =517 \\times16$

STEP 4

Calculate the total number of golf balls for option A.
$Total\, golf\, balls =517 \\times16 =8272$

STEP 5

Since8272 does not equal8802, option A cannot be true.

STEP 6

Now let's check option B. Plug in the given values for the number of boxes and golf balls per box.
$Total\, golf\, balls =486 \\times17$

STEP 7

Calculate the total number of golf balls for option B.
$Total\, golf\, balls =486 \\times17 =8262$

STEP 8

Since8262 does not equal8802, option B cannot be true.

STEP 9

Now let's check option C. Plug in the given values for the number of boxes and golf balls per box.
$Total\, golf\, balls =522 \\times16$

STEP 10

Calculate the total number of golf balls for option C.
$Total\, golf\, balls =522 \\times16 =8352$

STEP 11

Since835 does not equal880, option C cannot be true.

STEP 12

Now let's check option D. Plug in the given values for the number of boxes and golf balls per box.
$Total\, golf\, balls =489 \\times18$

STEP 13

Calculate the total number of golf balls for option D.
$Total\, golf\, balls =489 \\times18 =8802$

STEP 14

Since8802 equals8802, option D could be true.
The store could have received489 boxes of18 golf balls.

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