Question

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

Answer 1

Answer:

$\frac{1}{2}x + 16 = 36$

40 comic books

Step-by-step 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.

$\frac{1}{2}\ (Jill\ books) + 16\ more\ books = 36$

$\frac{1}{2}\ (x) + 16 = 36$

$\frac{1}{2}x + 16 = 36$

Therefore the algebraic equation of the given statement.

$\frac{1}{2}x + 16 = 36$--------(1)

Now we solve above equation for x.

Subtract by 16 both side of the equation 1.

$\frac{1}{2}x + 16 -16 = 36 -16$

$\frac{1}{2}x = 20$

Multiply by 2 both side of the above equation.

$2\times \frac{1}{2}x =2\times 20$

$x = 40$

Therefore, Jill had 40 comic books.