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Math  /  Numbers & Operations

QuestionA photographer wants to arrange all of his photographs into albums. Each album can hold 77 photographs. If the photographer has 9,354 photographs in all, how many photographs will be in the partially filled album? □\square photographs Submit

Studdy Solution

STEP 1

1. Each album can hold a maximum of 77 77 photographs.
2. The photographer has a total of 9,354 9,354 photographs.
3. We need to determine how many photographs will be in the partially filled album after filling as many full albums as possible.

STEP 2

1. Calculate the number of full albums.
2. Determine the number of photographs in the partially filled album.

STEP 3

Divide the total number of photographs by the number of photographs each album can hold to find the number of full albums.
Number of full albums=⌊9,35477⌋ \text{Number of full albums} = \left\lfloor \frac{9,354}{77} \right\rfloor

STEP 4

Perform the division to find the quotient and remainder.
9,354÷77=121 remainder 37 9,354 \div 77 = 121 \text{ remainder } 37

STEP 5

The remainder from the division represents the number of photographs in the partially filled album.
Photographs in the partially filled album=37 \text{Photographs in the partially filled album} = 37
The number of photographs in the partially filled album is:
37 photographs\boxed{37 \text{ photographs}}

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