Q:

When amy exercises in her fitness for 1 hour she burns a total of 475calories if she burns 9 calories a minute jogging on the treadmill and then burns 6.5 calories a minute pedaling on stationary bicycle how many minutes of hour does she spend exercising on bicycle

Accepted Solution

A:
Answer:   26 minutes on the bicycleStep-by-step explanation:Let t and b represent the number of minutes on the treadmill and bicycle, respectively. The problem statement tells us two ways to relate these values.   t + b = 60 . . . . . Amy exercises a total of 60 minutes (1 hour)   9t +6.5b = 475 . . . . . she burns a total of 475 caloriesSince we want to find the value of "b", we can use the first equation to write an expression that will substitute for t.   t = 60 -b   9(60 -b) +6.5b = 475   540 -2.5b = 475 . . . . . . simpify   -2.5b = -65 . . . . . . . . . . subtract 540   b = 26 . . . . . . . . . . . . . . . divide by -2.5 (equivalently, multiply by -2/5)Amy spends 26 minutes exercising on the bicycle.