At a constant temperature, a scuba diver combines two different conce…

Question

Prompt

At a constant temperature, a scuba diver combines two different concentrations of nitrox mix (oxygen-nitrogen gas mixture) to fill a tank to a total pressure of 90 atmospheres (atm), of which 37% is contributed by oxygen. Nitrox mix A contributes

x

atm of pressure to the tank, of which 22% is contributed by oxygen. Nitrox mix B contributes

y

atm of pressure to the tank, of which 49% is contributed by oxygen. Which system of equations represents this situation?

x + y = 90

0.22 x + 0.49 y = 0.37 (90)

x + y = 90

0.49 x + 0.22 y = 0.37 (90)

x + y = 0.37 (90)

0.22 x + 0.49 y = 90

x + y = 0.37 (90)

0.49 x + 0.22 y = 90