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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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