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The state capitol building in Baton Rouge, Louisiana, is 450 feet tall. Ella’s scale model of the building uses the scale 25 feet = 10 inches. How tall is Ella’s model?

A. 180 inches
B. 425 inches
C. 18 inches
D.1,125 inches

2 Answers

0 votes
The answer is 18 inches.
User Carlos Perez
by
5.8k points
5 votes

Hey there!

"The state capitol building in Baton Rouge, Louisiana, is 450 feet tall. Ella’s scale model of the building uses the scale 25 feet = 10 inches. How tall is Ella’s model?"

  • So, the first step as to finding our answer, we have to set up our equation
  • Which is 450 divided by a number is 25 divided by 10, the number is unknown, so we will label it as a "
    \bold{p} value"

  • \bold{(450)/(p)=(25)/(10)}


  • \bold{(450)/(p)=(25)/(10)}

  • \bold{Cross}
    \bold{multiply:450(10)=25(p)}

  • \bold{450(10)=4500}

  • \bold{25(p)=25p}

  • \bold{4500=25p}
  • Flip the equation:
    \bold{25p=4500}

  • \bold{Divide} by
    \bold{25} on each of your sides

  • \bold{(25p)/(25)=(4500)/(25)}

  • \bold{Cancel:(25p)/(25)} because it gives us an outcome of
    \bold{1} which is NOT apart of our answer choices

  • \bold{Keep:(4500)/(25)} because it gives us our answer
  • Therefore:
    \boxed{\boxed{\bold{Answer:A.180inches}}}

Good luck on your assignment and enjoy your day!

~
\bold{LoveYourselfFirst:)}

User Kundu
by
5.7k points