8th Class Mathematics Rational Numbers Question Bank Rational Numbers

  • question_answer
    One fruit salad recipe requires \[\frac{1}{2}\] cup of sugar. Another recipe for the same fruit salad requires 2 tablespoons of sugar. If 1 tablespoon is equivalent to \[\frac{1}{16}\] cup, how much more sugar does the first recipe require?            

    A)  \[\frac{\text{4}}{\text{5}}\text{cup}\]                     

    B)         \[\frac{6}{\text{5}}\text{cup}\]        

    C)         \[\frac{3}{8}\text{cup}\]                  

    D)         \[\frac{\text{5}}{\text{8}}\text{cup}\]         

    Correct Answer: C

    Solution :

    We have, 1 tablespoon\[\text{=}\frac{\text{1}}{\text{16}}\text{cup}\] \[\Rightarrow \text{2}\] tablespoons \[=\frac{2}{16}\] cup \[\text{=}\frac{\text{1}}{\text{8}}\text{ cup}\] So, the amount of sugar requires in second recipe \[\text{=}\frac{\text{1}}{\text{8}}\text{ cup}\] Also, amount of sugar requires in first recipe \[\text{=}\frac{\text{1}}{\text{2}}\text{cup}\] \[\therefore \] Difference \[=\frac{1}{2}-\frac{1}{8}=\frac{4-1}{8}=\frac{3}{8}\text{cup}\] So, \[\frac{\text{3}}{\text{8}}\text{cup}\] more sugar required for first recipe.


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