The space allowed for the mascot on a​ school's Web page is 75 pixels wide by 60 pixels high. Its digital image is 500 pixels wide by 400 pixels high. What is the largest image of the mascot that will fit on the Web​ page?

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Answer:

It will be 60 pixels high and 75 pixels wide

Step-by-step explanation:

[tex]\frac{400}{60}=\frac{500}{x}[/tex]

As

  • The space allowed for the mascot on a​ school's Web page is 75 pixels wide by 60 pixels high
  • Its digital image is 500 pixels wide by 400 pixels high

So, the expression becomes

[tex]\frac{400}{60}=\frac{500}{x}[/tex]

[tex]\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c[/tex]

[tex]400x=60\cdot \:500[/tex]

[tex]400x=30000[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}400[/tex]

[tex]\frac{400x}{400}=\frac{30000}{400}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=75[/tex]

Therefore, it will be 60 pixels high and 75 pixels wide

Keywords: pixel, ratio

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