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8th Class Mathematics Linear Equations in One Variable Question Bank Linear equations in One Variable

  • question_answer
    At a party, colas, squash and fruit juice were offered to guests. One-fourth of the guests drank colas, One-third drank squash, two-fifths drank fruit juice and just three did not drink anything. How many guests were there in all?

    A)  240                            

    B)  180    

    C)  144                

    D)         190    

    Correct Answer: B

    Solution :

    Let total number of guests at the party be x Number of guests who drank colas\[=\frac{1}{4}x\] Number of guests who drank squash\[=\frac{1}{3}x\] Number of guests who drank fruit juice\[=\frac{2}{5}x\] Number of guests who did not drank anything = 3 According to question, we have \[\frac{1}{4}x+\frac{1}{3}x+\frac{2}{5}x+3=x\] \[\Rightarrow \frac{15x+20x+24x+180}{60}=x\] \[\Rightarrow 59x+180=60x\Rightarrow x=180\] Hence, there were 180 guests at the party.


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