Question

# The given equation represents the sum of the fractions represented on the line plot: Sum=(3×18)+(3×14)+(1×12) Choose the line plot whose fractions add up to give the same sum:

A
Plot B
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B
Plot C
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C
Plot A
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D
Plot D
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Solution

## The correct option is D Plot DThe sum of the fractions of the given plot is: Sum=(3×18)+(3×14)+(1×12) Now, this sum can be expressed as: Sum=(3×18)+(3×14)+(1×12) =(18+18+18)+(14+14+14)+12 =18+(18+18)+14+(14+14)+12 =18+(28)+14+(24)+12 Now, 28=14 Also, 24=12 ⟹Sum=18+(28)+14+(24)+12 =18+(14)+14+(12)+12 =18+(14+14)+12+12 =18+(24)+12+12 =18+(12)+12+12 Rewriting this, we find: Sum=(1×18)+(0×14)+(3×12) Plotting the number of each type of fraction on a line plot, we get: Hence, the fractions represented in plot D add up to give the sum given in the question.

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