Ali and Ben measured their heart rates. Theratio of their heart rates was 15:17. Ben'sheart beat 18 beats per minute more thanAli's. Calculate Ali's heart rate.
Accepted Solution
A:
Answer:Ali's heart rate is 135 beats per minuteStep-by-step explanation:Letx ----> Ali's heart ratey ----> Ben's heart ratewe know that[tex]\frac{x}{y}=\frac{15}{17}[/tex]isolate the variable x[tex]x=\frac{15}{17}y[/tex] ----> equation Awe have[tex]y=x+18[/tex] ---> equation BSolve the system by substitutionsubstitute equation B in equation A[tex]x=\frac{15}{17}(x+18)[/tex] Solve for x[tex]x-\frac{15}{17}x=\frac{15}{17}(18)[/tex][tex]\frac{2}{17}x=\frac{270}{17}[/tex]simplify[tex]2x=270\\x=135\ beats\ per\ minute[/tex]thereforeAli's heart rate is 135 beats per minute