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scZoUnD [109]
4 years ago
15

Ali and Ben measured their heart rates. The

Mathematics
1 answer:
Vedmedyk [2.9K]4 years ago
5 0

Answer:

Ali's heart rate is 135 beats per minute

Step-by-step explanation:

Let

x ---->  Ali's heart rate

y ----> Ben's  heart rate

we know that

\frac{x}{y}=\frac{15}{17}

isolate the variable x

x=\frac{15}{17}y ----> equation A

we have

y=x+18 ---> equation B

Solve the system by substitution

substitute equation B in equation A

x=\frac{15}{17}(x+18)

Solve for x

x-\frac{15}{17}x=\frac{15}{17}(18)

\frac{2}{17}x=\frac{270}{17}

simplify

2x=270\\x=135\ beats\ per\ minute

therefore

Ali's heart rate is 135 beats per minute

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