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Please help me and explain how to find the result

Please help me and explain how to find the result-example-1

1 Answer

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A family consumes 1.2kg of rice a day

If the family have 30ky of rice

Let the number of days be x

The minimum number of days required for the amount of rice remaining not to be more than 6kg can be expressed below as


30-1.2x\le6

Solve for x by collecting like terms


\begin{gathered} 30-1.2x\le6 \\ 30-6\le1.2x \\ 24\le1.2x \\ 1.2x\ge24 \\ \text{Divide both sides by 1.2} \\ (1.2x)/(1.2)\ge(24)/(1.2) \\ x\ge20\text{ days} \end{gathered}

Hence, the minimum number of days required for the amount of rice remaining not to be more than 6kg is 20 days

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