Question

Write the following statements using symbolic language Gil is reading a book that has 272 pages. he already read some of it last week and plans to read 20 page tomorrow. by then he will be 2/3 of the wat through the book.

a 276(20)+x=2/3
b 2/3(20)=x+276
c 276+x(20)=2/3
d x+20=2/3(276)

Answer 1

To write the given statements using symbolic language, let's break down the information provided:

1. Gil is reading a book that has 272 pages.

2. He already read some of it last week.

3. He plans to read 20 pages tomorrow.

4. By then, he will be 2/3 of the way through the book.

Now, let's represent these statements using symbolic language:

Let x represent the number of pages Gil has already read.

1. The total number of pages in the book is 272: 272.

2. Gil has already read some pages last week: x.

3. Gil plans to read 20 pages tomorrow: 20.

4. By then, Gil will be 2/3 of the way through the book: 2/3 * 272.

Now, let's write the statements in symbolic language:

a) 276(20) + x = 2/3

b) 2/3(20) = x + 276

c) 276 + x(20) = 2/3

d) x + 20 = 2/3(276)

Out of these options, the correct symbolic representation is:

d) x + 20 = 2/3(276)

This equation represents that the number of pages Gil has already read (x) plus 20 should be equal to 2/3 of the total number of pages in the book (2/3 * 276).

Answer 2

The correct symbolic representation is x + 20 = (2/3) * 276

Step-by-step explanation:

The correct symbolic representation for the given information is: x + 20 = (2/3) * 276

To represent the fact that Gil is reading a book with 272 pages, the expression is: x = 272

Gil already read some of the book last week, so we need to add that to the equation: x + previous pages read = total pages read

Since Gil plans to read 20 pages tomorrow, we add 20 to the equation: x + previous pages read + 20 = total pages read

According to the information given, Gil will be 2/3 of the way through the book after reading all these pages: total pages read = (2/3) * 276