An art gallery is preparing for a new exhibition that will showcase paintings and sculptures. The ratio of paintings to sculptures in the exhibition is set at 5:3. If the gallery wants to have a total of 64 artworks on display, how many paintings will be showcased?
To find the number of paintings, let the total number of parts in the ratio be the sum of the parts of paintings and sculptures:
$$ 5 + 3 = 8 $$
Next, since there will be a total of 64 artworks, each part represents:
$$ rac{64}{8} = 8 $$
Finally, to find the number of paintings, multiply the number of parts for paintings by the value of each part.