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Citrus2011 [14]
1 year ago
10

50 points help (show ur work) Answer all of them

Mathematics
1 answer:
salantis [7]1 year ago
5 0

Answer:

5.  $40

6.  500 students

7.  60 books

8.  63 pages

Step-by-step explanation:

<h3><u>Question 5</u></h3>

Given:

  • Aiden spent $18 on souvenirs.
  • $18 is 45% of the money he brought on the trip.

Let x be the money Aiden brought on the trip.

Create equivalent ratios with the given information and defined variable, and <u>solve for x</u>:

\implies 18:45\%=x:100\%

\implies 18:0.45=x:1

\implies \dfrac{18}{0.45}=\dfrac{x}{1}

\implies 18=0.45x

\implies x=\dfrac{18}{0.45}

\implies 40

Therefore, Aiden brought $40 on the trip.

<h3><u>Question 6</u></h3>

Given:

  • Angel received 300 votes.
  • 300 votes was 60% of all the votes.

Let x be the number of students who voted in the election.

Create equivalent ratios with the given information and defined variable, and <u>solve for x</u>:

\implies 300:60\%=x:100\%

\implies 300:0.6=x:1

\implies \dfrac{300}{0.6}=\dfrac{x}{1}

\implies 300=0.6x

\implies x=\dfrac{300}{0.6}

\implies x = 500

Therefore, there were 500 students who voted in the election.

<h3><u>Question 7</u></h3>

Given:

  • The students sold 80% of the books.
  • The total number of books they sold is 48.

Let x be the number of books in the sale.

Create equivalent ratios with the given information and defined variable, and <u>solve for x</u>:

\implies 80\%:48=100\%:x

\implies 0.8:48=1:x

\implies \dfrac{0.8}{48}=\dfrac{1}{x}

\implies 0.8x=48

\implies x=\dfrac{48}{0.8}

\implies x=60

Therefore, there were 60 books in the book sale.

<h3><u>Question 8</u></h3>

Given:

  • Aiyana read 147 pages of the book.
  • She completed 70% of the book.

If she has completed 70% of the book, then she still has 30% left to read, as 100% - 70% = 30%.

Let x be the number of pages Aiyana still has to read.

Create equivalent ratios with the given information and defined variable, and <u>solve for x</u>:

\implies 70\%:147=30\%:x

\implies 0.7:147=0.3:x

\implies \dfrac{0.7}{147}=\dfrac{0.3}{x}

\implies 0.7x=44.1

\implies x=\dfrac{44.1}{0.7}

\implies x=63

Therefore, Aiyana still has 63 pages left to read.

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