Answer: For every 1 can of red paint, the number of yellow paints used by the painter is [tex]\frac{6}{7}[/tex] and
There are approximately 29 cans of yellow paints for 34 cans of red paints.
Step-by-step explanation:
Since we have given that
Number of cans of red paint = 14
Number of cans of yellow paint = 12
According to question, we have to find that for every 1 can of red paint the painter uses what number of yellow paints;
Since the ratio of red paint to yellow paint is given by
[tex]14:12\\\\7:6\\\\1:\frac{6}{7}[/tex]
So, for every 1 can of red paint, the number of yellow paints used by the painter is [tex]\frac{6}{7}[/tex]
Similarly,
If Number of can of red paint is used = 34
So, Number of cans of yellow paint will be
[tex]\frac{6}{7}\times 34\\\\=\frac{6\times 34}{7}\\\\=29\ approx.[/tex]
Hence, there are approximately 29 cans of yellow paints for 34 cans of red paints.