Question

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

Answer 1

5. $40

6. 500 students

7. 60 books

8. 63 pages

Explanation:

Question 5

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 solve for x:

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

`\implies 18:0.45=x:1`

`\implies (18)/(0.45)=(x)/(1)`

`\implies 18=0.45x`

`\implies x=(18)/(0.45)`

`\implies 40`

Therefore, Aiden brought $40 on the trip.

Question 6

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 solve for x:

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

`\implies 300:0.6=x:1`

`\implies (300)/(0.6)=(x)/(1)`

`\implies 300=0.6x`

`\implies x=(300)/(0.6)`

`\implies x = 500`

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

Question 7

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 solve for x:

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

`\implies 0.8:48=1:x`

`\implies (0.8)/(48)=(1)/(x)`

`\implies 0.8x=48`

`\implies x=(48)/(0.8)`

`\implies x=60`

Therefore, there were 60 books in the book sale.

Question 8

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 solve for x:

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

`\implies 0.7:147=0.3:x`

`\implies (0.7)/(147)=(0.3)/(x)`

`\implies 0.7x=44.1`

`\implies x=(44.1)/(0.7)`

`\implies x=63`

Therefore, Aiyana still has 63 pages left to read.