In a museum, there are7 paintings for every 6 sculptures. Write the ratio of paintings to sculptures.

Question

If there are 35 paintings in the museum, how many sculptures are there?

Answer 1

The ratio of paintings to sculptures is 7:6.

If there are 35 paintings in the museum, we can set up a proportion to find the number of sculptures.

Let \( x \) be the number of sculptures. According to the ratio:

\[ \frac{7}{6} = \frac{35}{x} \]

To find \( x \), we can cross-multiply:

\[ 7x = 6 \cdot 35 \]

Calculating the right side:

\[ 6 \cdot 35 = 210 \]

Now the equation looks like this:

\[ 7x = 210 \]

To solve for \( x \), divide both sides by 7:

\[ x = \frac{210}{7} = 30 \]

Therefore, there are 30 sculptures in the museum.