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.