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Travis was walking to school when hesaw some friends walking a block aheadof him. After running to catch up with hisfriends, his heart was beating 24 beatsevery 10 seconds. At this rate, how manytimes would his heart beat in 3 minutes?

Sagot :

his heart would beat 432 times in 3 minutes

Explanation

we can easily solve this by using a rule of three,

then

Step 1

to do that we need the same measure unit for the time, let's use seconds

so, we need to convert 3 minutes into seconds,

the equivalence is

[tex]1\text{ minute = 60 seconds}[/tex]

hence, to convert from minutes into seconds just mutlply by 60

then

[tex]3\text{ minutes}\Rightarrow3\cdot60\text{ seconds=180 seconds}[/tex]

Step 2

now, let's make the proportion

let x represents the number of times his heart would be in 180 seconds( 3 minutes)

so

[tex]\begin{gathered} \text{if} \\ 24\text{ beats}\Rightarrow10\text{ s} \\ \text{then} \\ x\text{ beats}\Rightarrow180\text{ s} \end{gathered}[/tex]

so, the proportion is

[tex]\begin{gathered} \frac{24\text{ beats}}{10\text{ s}}=\frac{x}{180\text{ s}} \\ \frac{24}{10}=\frac{x}{180} \\ \end{gathered}[/tex]

finally, to solve for x multiply both sides by of the equation by 180 and reduce

[tex]\begin{gathered} \frac{24}{10}=\frac{x}{180} \\ \frac{24}{10}\cdot180=\frac{x}{180}\cdot180 \\ \frac{4320}{10}=x \\ 432=x \end{gathered}[/tex]

therefore, his heart would beat 432 times in 3 minutes

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