Question

Jill sold half of her comic books and then bought sixteen more. She now has 36. With how many did she begin?

Write the algebraic equation form please!

Answer 1

`(1)/(2)x + 16 = 36`

40 comic books

Explanation:

Let x be the Jill comic books.

Given:

Jill sold half of her comic books and then bought sixteen more. She now has 36.

`(1)/(2)\ (Jill\ books) + 16\ more\ books = 36`

`(1)/(2)\ (x) + 16 = 36`

`(1)/(2)x + 16 = 36`

Therefore the algebraic equation of the given statement.

`(1)/(2)x + 16 = 36`--------(1)

Now we solve above equation for x.

Subtract by 16 both side of the equation 1.

`(1)/(2)x + 16 -16 = 36 -16`

`(1)/(2)x = 20`

Multiply by 2 both side of the above equation.

`2* (1)/(2)x =2* 20`

`x = 40`

Therefore, Jill had 40 comic books.