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Please help with this 1 question! -3-||

Please help with this 1 question! -3-||-example-1
User Wsbaser
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2 Answers

3 votes

Answer: 400

Explain: Just do 80/20 and get 4 then do 100 times 4

回答:400

説明:80/20を実行して4を取得し、次に100回4を実行します

User Jinlong
by
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7 votes

Step-by-step explanation

  • Get rid of the denominator by multiplying the whole equation with 100x.


(20)/(100) (100x) = (80)/(x) (100x) \\ \frac{20}{ \cancel{100}}( \cancel{100} \: \: x) = \frac{80}{ \cancel{x}} (100 \cancel{x}) \\ 20x = 80(100) \\ 20x = 8000

  • Solve the equation for x-term.


x = (8000)/(20) \longrightarrow \frac{800 \cancel{0}}{2 \cancel{0}} \\ x = (800)/(2) \longrightarrow \frac{ \cancel{800} \: \: 400}{ \cancel{2} \: \: 1} \\ x = 400

  • Answer Check

Substitute x = 400 in the equation.


(20)/(100) = (80)/(400) \\ \frac{ \cancel{20} \: \: \: 1}{ \cancel{100} \: \: \: 5} = \frac{ \cancel{80} \: \: \: 1}{ \cancel{400} \: \: \: 5} \\ (1)/(5) = (1)/(5)

The equation is true for x = 400. Therefore the answer for equation is x = 400.

Answer


\large\boxed{x = 400}

User Prayagupadhyay
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4.2k points