Professionalstudent Professionalstudent
  • 20-08-2020
  • Mathematics
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After an exercise, Ali and Ben measured their heart rates. The ratio of their heart rates was 15:17 Bens heart beats 18 times per minute more than Ali. Calculate Ali heart rate

Respuesta :

warylucknow warylucknow
  • 25-08-2020

Answer:

Ali's heart rate is 135 times per minute.

Step-by-step explanation:

Let Ali's heart rate be denoted by x times per minute.

It is provided that Ben's heart beats 18 times per minute more than Ali.

The ratio of their heart rates was 15:17.

That is:

[tex]\frac{15}{17}=\frac{x}{x+18}[/tex]

Solve for x as follows:

[tex]\frac{15}{17}=\frac{x}{x+18}[/tex]

[tex]15(x+18)=17x\\15x+270=17x\\2x=270\\x=135[/tex]

Thus, Ali's heart rate is 135 times per minute.

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