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Sagot :
[tex]\text{resulting number= }224.5[/tex]
Explanation
Step 1
convert the mixed number into a fraction number.
remember:
[tex]a\text{ }\frac{b}{c}=\frac{(a\cdot c)+b}{c}[/tex]hence
[tex]12\frac{1}{4}=\frac{(12\cdot4)+1}{4}=\frac{48+1}{4}=\frac{49}{4}[/tex]Step 2
now, use a rule of three to find the increase in 49/4 percet
so, find the increase
[tex]\begin{gathered} \text{if} \\ 200\Rightarrow100 \\ x\Rightarrow\frac{49}{4} \end{gathered}[/tex]do the proportion and solve for x
[tex]\begin{gathered} \frac{200}{100}=\frac{x}{\frac{49}{4}} \\ \text{cross multiply} \\ 200\cdot\frac{49}{4}=100x \\ 2450=100x \\ \text{divide both sides by 100} \\ \frac{2450}{100}=\frac{100x}{100} \\ 24.5=x \end{gathered}[/tex]so, the increase is 24.5
Step 3
finally, add the increase to the 200 to know the resulting number
[tex]\begin{gathered} \text{resulting number= 200+24.5} \\ \text{resulting number= }224.5 \end{gathered}[/tex]I hope this helps you
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