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You have been invited to a community meeting to share knowledge about water as a natural source. As a chemistry learner, make a write-up of what you will share to the community.

Chemistry

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Answer

1514 days\dfrac{15}{14}~\mathrm{days}

Step-by-step solution

7 steps

  1. The water tank has a capacity of 12 kl12~\mathrm{kl}.

  2. The village community uses 11.2 kl/day11.2~\mathrm{kl/day}.

  3. The formula for the number of days the water will last is

    Number of days=tank capacity (kl)daily usage (kl/day)\text{Number of days} = \frac{\text{tank capacity (kl)}}{\text{daily usage (kl/day)}}

  4. Substitute the given values

    Number of days=12 kl11.2 kl/day\text{Number of days} = \frac{12~\mathrm{kl}}{11.2~\mathrm{kl/day}}

  5. Simplify the fraction by multiplying numerator and denominator by 10

    12 kl11.2 kl/day=12×10 kl11.2×10 kl/day=120 kl112 kl/day\frac{12~\mathrm{kl}}{11.2~\mathrm{kl/day}} = \frac{12 \times 10~\mathrm{kl}}{11.2 \times 10~\mathrm{kl/day}} = \frac{120~\mathrm{kl}}{112~\mathrm{kl/day}}

  6. Simplify 120112\frac{120}{112} by dividing numerator and denominator by 8

    120÷8112÷8=1514\frac{120 \div 8}{112 \div 8} = \frac{15}{14}

  7. Therefore, the water will last

    1514 days\frac{15}{14}~\mathrm{days}

    \dfrac{15}{14}~days

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