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An art gallery has 18 paintings and 4 photographs displayed in in equal rows on a wall, with the same number of each type of art in each row

Math Feb 19, 2021

An art gallery has 18 paintings and 4 photographs displayed in in equal rows on a wall, with the same number of each type of art in each row. Which of the following could be the number of rows

A . 2 rows;

B . 3 rows;

C . 4 rows;

D . 6 rows.

 

 

Expert Solution

Answer:

if there are 18 paintings and 4 photographs, then they need to be divided evenly into equal groups/rows.
18÷2=9
4÷2=2

A. 2 rows can be possible with 9 paintings and 2 photographs in each row.
B. 3 rows are not possible because none of the numbers can be divided by three.
C. 4 rows cannot be possible. While 4 can be divided by 4, 18 cannot.
D. 6 rows cannot be possible because the only number that can be divided by 6 is 18, which would be three. 4 is not divisible by 6.

The answer is A. with each row containing 9 paintings and 2 photographs!
 

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