Read a model water allocation

Supplied materials

• All measurements and observations below are supplied classroom examples. They are not data from actual learners or a claim about a particular real site.
• Paper or browser document; an ordinary calculator is optional.
• Rule: Allocated water equals total liters multiplied by percent divided by 100. Formula: a*b/100. Variable key: a = total water (L), b = allocated percent
• Distinct worked inputs and result: A distinct model allocates 40% of 150 L: 150×40/100=60 L.
• Assessment case 1: Supplied case 1: total water (L)=200; allocated percent=25, using the explicitly named quantities. Allocated water equals total liters multiplied by percent divided by 100. What result follows?
• Assessment case 2: Supplied case 2: total water (L)=300; allocated percent=10, using the explicitly named quantities. Allocated water equals total liters multiplied by percent divided by 100. What result follows?
• Assessment case 3: Supplied case 3: total water (L)=400; allocated percent=20, using the explicitly named quantities. Allocated water equals total liters multiplied by percent divided by 100. What result follows?
• Assessment case 4: Supplied case 4: total water (L)=500; allocated percent=30, using the explicitly named quantities. Allocated water equals total liters multiplied by percent divided by 100. What result follows?
• Assessment case 5: Supplied case 5: total water (L)=600; allocated percent=15, using the explicitly named quantities. Allocated water equals total liters multiplied by percent divided by 100. What result follows?
• Assessment case 6: Supplied case 6: total water (L)=800; allocated percent=5, using the explicitly named quantities. Allocated water equals total liters multiplied by percent divided by 100. What result follows?

Learn the idea

A percentage describes part of a stated total. These are fictional model shares, not a new estimate of global water. Use the supplied percentage and keep the volume unit.

Allocated water equals total liters multiplied by percent divided by 100. The formula in the supplied model is a*b/100. Variable key: a = total water (L), b = allocated percent. Percent means out of one hundred. The supplied model is not measured global water data.

A distinct model allocates 40% of 150 L: 150×40/100=60 L. Shares depend on the stated total. Track the quantity and unit before calculating. Explain the meaning of a positive, negative or fractional result when relevant. A numerical answer supports the stated model calculation; broader claims require the additional measurements and assumptions described here.

1. Name the measured quantities and their units before substituting values.
2. Write the stated rule and use the variable key to match each symbol to its explicitly named quantity.
3. Calculate each supplied case separately, keeping intermediate arithmetic and the result unit.
4. Explain the result in context and identify the assumption that would invalidate direct use of the rule.

Check your reasoning

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Take it further

Changed-input task: use the same stated model with total water (L)=201; allocated percent=25. Expected result: 50.25 L. Explain what changes and keep this assumption: Shares depend on the stated total.

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