Question

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 shade of teal?

A. Tina's favorite shade is more blue than Tyler's
B. Tina's favorite shade is greener than Tyler's
C. The two colors are the same

Answer 1

A. Tina's favorite shade is more blue than Tyler's

Answer 2

Answer: The correct option is

(A) Tina's favorite shade is more blue than Tyler's.

Step-by-step explanation: Given that 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.

We are to find how Tina's favorite shade of teal compare to Tyler's shade of teal.

The fraction of blue paint in Tina's favorite shade of teal is given by

`F_(ti)=(7)/(7+5)=(7)/(12)`

and the fraction of blue paint in Tyler's favorite shade of teal is given by

`F_(ty)=(5)/(7+5)=(5)/(12)`

We get

`F_(ti)-F_(ty)=(7)/(12)-(5)/(12)=(2)/(12)=(1)/(6)>0\\\\\\\Rightarrow F_(ti)>F_(ty).`

That is, the fraction of blue paint in Tina's favorite shade is more than the fraction of blue paint in Tyler's favorite shade.

Thus, Tina's favorite shade is more blue than Tyler's.

(A) is the correct option.