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 :

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

[tex]b+8[/tex]

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

[tex]\frac{b+8}{2}[/tex]

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

[tex]\begin{gathered} b+8-\frac{b+8}{2}=20 \\ \frac{b+8}{2}=20 \end{gathered}[/tex]

Simplify the equation for b.

[tex]\begin{gathered} b+8=20\cdot2 \\ b=40-8 \\ =32 \end{gathered}[/tex]

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

Mark began with 32 boxes.

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