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Seventh grade L.10 Percent of change: word problems 545 You have At his most recent medical checkup, a boy was 45 inches tall. Currently, he is 20% taller. How tall is the boy now? inches Submit

Sagot :

54 inches

Explanation

you can easily solve this by using a rule of three

let x represents the current heigth of the boy, then

if

[tex]45\text{ inches}\rightarrow100\text{ \%}[/tex]

then

[tex]x\rightarrow120\text{ percent}[/tex]

as the proportion is the same:

[tex]\begin{gathered} \frac{45}{100}=\frac{x}{120} \\ Multiply\text{ both sides by 120} \\ \frac{45}{100}\cdot120=\frac{x}{120}\cdot120 \\ 54=x \end{gathered}[/tex]

so, the answer is 54 inches.

I hope this helps you