MATH SOLVE

4 months ago

Q:
# Tina's favorite shade of teal is made with 7 ounces of blue paint for every 5 ounces of green paint. Tyler's favorite shade of teal is made with 5 ounces of blue paint for every 7 ounces of green paint. How does Tina's favorite shade of teal compare to Tyler's favorite shade of teal?

Accepted Solution

A:

We have been given that Tina's favorite shade of teal is made with 7 ounces of blue paint for every 5 ounces of green paint and Tyler's favorite shade of teal is made with 5 ounces of blue paint for every 7 ounces of green paint.We can express the ratio of blue paint to green paint for both Tina as well as Tyler's favorite shades of teal as shown below.For Tina: [tex]\frac{7}{5}[/tex]For Tyler: [tex]\frac{5}{7}[/tex]In order to compare the two ratios, we will have to make the denominators equal. Let us make denominators equal for both these ratios.For Tina: [tex]\frac{7\cdot7}{5\cdot7}=\frac{49}{35}[/tex]For Tyler: [tex]\frac{5\cdot5}{7\cdot5}=\frac{25}{35}[/tex]Therefore, we can see that for equal amount of Green paint, Tina's favorite shade of teal contains [tex]\frac{49}{25}[/tex] times, that is almost twice the Blue paint that Tyler's favorite shade of teal contains.