Question

114. Jillian sold half of her comic books and then bought15 more. She now has 30. With howmanydid shebegin?Let c represent the number of comic books with whichshe began.Equation or inequality:Jillian began withCDs.

Answer 1

Intially there are b boxes, after that 8 more boxes are bought. So total number of boxes are,

`b+8`

Half of total boxes are destroyed which means destroyd boxes are,

`(b+8)/(2)`

The remaining number of boxes is equal to 20. So equation is,

`\begin{gathered} b+8-(b+8)/(2)=20 \\ (b+8)/(2)=20 \end{gathered}`

Simplify the equation for b.

`\begin{gathered} b+8=20\cdot2 \\ b=40-8 \\ =32 \end{gathered}`

Equation or inequality: (b+8)/2 = 20

Mark began with 32 boxes.