Emily Drew was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 862 points. The number of two-point field goals that Emily
made was 76 less than double the number of three-point field goals she made. The number
of free throws (each worth one point) she made was 26 less than the number of two-point
field goals she made. Find how many free throws, two-point field goals, and three-point field
goals Emily Drew made during the 2006 regular season.

Free throw: 139

2 pointers: 173

3 pts: 123

Step-by-step explanation:

Set x equal to the number of 3pts scored.

Then get 2x-73 from the given number of 2pts relative to 3pts.

Then get 2x-107 from the given number of free throws.

Set up an equation in reference to the number of 3pts and multiply by pts for each type to get:

3x+2(2x-73)+1(2x-107)=854

where 3x is pts from 3pts

2(2x-73) is pts from 2pts

1(2x-107) is pts from free throws.

Simplify to get:

9x-253=854

Solve:

9x=1107

x=123.

Then plug in the number of 3pts scored into the other numbers.

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.