Answer: Eli read 3 historical fiction books , 7 biographies and 1 mystery book.
Step-by-step explanation:
Let x be the number of historical fiction books Eli read.
Then, Number of biographies he read = x+4
Number of mysteries he read = x-2
If he read a total of eleven books during the semester , then we have the following equation :
[tex]x+x+4+x-2=11[/tex]
[tex]\\\\\Rightarrow\ 3x+2=11[/tex]
[tex]\\\\\Rightarrow\ 3x=9[/tex] (Subtract 2 from both sides )
[tex]x=3[/tex] (Divide both sides by 3)
Therefore , Number of historical fiction books Eli read = 3
Number of biographies he read = 3+4=7
Number of mysteries he read =3-2=1
Hence, Eli read 3 historical fiction books , 7 biographies and 1 mystery book.
Answer:the number of biographies books that Eli read is 7
the number of historical fiction books that Eli read is 3
the number of mysteries books that Eli read is 1
Step-by-step explanation:
Let x represent the number of biographies books that Eli read.
Let y represent the number of historical fiction books that Eli read.
Let z represent the number of mysteries books that Eli read.
Eli read four more biographies than historical fiction book during the semester. This means that
x = y + 4
He also read two fewer mysteries books than historical fiction books. This means that
z = y - 2
If he read a total of eleven books during the semester, it means that
x + y + z = 11 - - - - - - - - - - - - 1
Substituting x = y + 4 and z = y - 2 into equation 1, it becomes
y + 4 + y + y - 2 = 11
3y + 2 = 11
3y = 11 - 2 = 9
y = 9/3 = 3
z = y - 2 = 3 - 2 = 1
x = y + 4 = 3 + 4 = 7
