At the gym, Cara burns 12 calories per minute on the elliptical and 10 calories per minute on the treadmill. If she worked out for one hour and burned 676 calories, how many minutes did she spend on the elliptical

E=elliptical

T = treadmill

12E+10T=676

also, she worked out one hour

E+T=60

E=60-T we substitute now

12 (60-T) + 10T=676

720-12T+10T=676

720-2T=676 substract 720 from both sides

-2T=-44 now divide by (-2)

T=22

if T=22 E=60-22=38

she spends 38 min on the elliptical