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Cloud moderators

30/11/2017 at 13:53
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The cost of 1 binder with photos of celebrities on the cover plus the cost of 8 regular binders is a total of $32.60. The cost of 1 binder with photos of celebrities on the cover plus the cost of 12 regular binders is a total of $46.00. How much more does it cost to buy a celebrity binder than a regular binder? 




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    Lê Quốc Trần Anh Coordinator 30/11/2017 at 18:00

    Call + 1 binder with photos of celebrities on the cover: SB

            + 1 regular binder: RB

    We have: \(1SB+8RB=32,60\left(dollars\right)\) and \(1SB+12RB=46,00\left(dollars\right)\)

    So we have: \(\left(1SB+12RB\right)-\left(1SB-8RB\right)=4RB=46,00-32,60=13,40\left(dollars\right)\)

    So \(1RB=13,40:4=3,35\left(dollars\right)\)

    The cost of \(1SB=32,60-\left(3,35\cdot8\right)=5,80\left(dollars\right)\)

    So it costs more to buy a celebrity binder than a regular binder: \(5,80-3,35=2,45\left(dollars\right)\)

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