There are 54 paintings in the National Museum. The ratio of the number of sculptures to the number of paintings in the museum is 7:9.

(a) Express the number od sculptures as a fraction of the number of paintings.

(b) How many sculptures are there in the museum?

(c) The number of sculptures is _________ of the number of painting.

(a)1/7

(B)1/16

(a) To express the number of sculptures as a fraction of the number of paintings, we can use the given ratio of 7:9. The fraction can be written as 7/9.

(b) To find the number of sculptures in the museum, we need to calculate 7/9 of 54 paintings.

Number of sculptures = (7/9) * 54
= 7/9 * 54/1 (Multiply the fractions)
= (7 * 54) / (9 * 1)
= 378 / 9
= 42

Therefore, there are 42 sculptures in the museum.

(c) The number of sculptures is 42 of the number of paintings.

To solve this problem, we can start by setting up a ratio equation based on the information given. Let's denote the number of sculptures as "x" and the number of paintings as "y".

(a) We are given that the ratio of the number of sculptures to the number of paintings is 7:9. This can be written as:

x/y = 7/9

(b) To find the number of sculptures in the museum, we need to solve for "x" in the equation from part (a). We know that there are 54 paintings in the museum, so we can substitute y = 54 into the equation:

x/54 = 7/9

To solve for "x", we can cross-multiply:

9x = 54 * 7

9x = 378

Dividing both sides by 9:

x = 378 / 9

x = 42

Therefore, there are 42 sculptures in the museum.

(c) We had found that x = 42 and y = 54. To express the number of sculptures as a fraction of the number of paintings, we can write it as:

42/54

Simplifying this fraction by dividing both numbers by their greatest common divisor (which is 6), we get:

7/9

So the number of sculptures is 7/9 of the number of paintings.

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