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Write the following question down on paper and evaluate it without using a calculator.

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If you are unsure of how to do a question, click on Show steps to see the full working. Then, once you understand how to do the question, click on Try another question like this one to start again.

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If a patient received $\\var{drops}$ drops over $\\var{minutes}$ minutes, then the patient received [[0]] drops per minute.

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We can approach these questions like equivalent fractions by replacing the word 'per' with the operation of division.

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The following are all equivalent ways of writing the same rate:

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$\\var{drops}$ drops per $\\var{minutes}$ minutes $= \\var{drops}$ drops/ $\\var{minutes}$ min $= \\dfrac{\\var{drops} \\text{ drops}}{\\var{minutes} \\text{ min}}=\\dfrac{\\var{drops}}{\\var{minutes}} \\text{ drops/min}$.

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 So we just need to do the division to determine the rate per minute.

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$\\dfrac{\\var{drops}}{\\var{minutes}} \\text{ drops/min}=\\var{ans3} \\text{ drops/min}$

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In other words the rate is equivalent to $\\var{ans3}$ drops per minute.

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We can also approach these questions like ratios.

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Think of $\\var{drops}$ drops per $\\var{minutes}$ minutes as the ratio $\\var{drops}$ drops : $\\var{minutes}$ min.

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We can multiply or divide both sides of this ratio by any non-zero number to get an equivalent ratio. Since we want to know about drops per minute, we divide both sides by $\\var{minutes}$.

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$\\var{drops} \\text{ drops} \\,:\\, \\var{minutes} \\text{ min} = \\var{drops}\\div \\var{minutes}\\text{ drops}\\, :\\, \\var{minutes} \\div \\var{minutes} \\text{ min} = \\var{ans3} \\text{ drops}\\,:\\, 1\\text{ min}$.

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In other words there are $\\var{ans3}$ drops per minute.

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If an IV drip delivers $\\var{capacity}$ mL through $\\var{numdrops}$ drops, then there must be [[0]] drops in each mL.

", "type": "gapfill", "variableReplacements": [], "steps": [{"variableReplacementStrategy": "originalfirst", "showFeedbackIcon": true, "showCorrectAnswer": true, "scripts": {}, "customMarkingAlgorithm": "", "prompt": "

We can approach these questions like equivalent fractions by replacing the word 'per' with the operation of division.

\n

 

\n

The following are all equivalent ways of writing the same rate:

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$\\var{numdrops}$ drops per $\\var{capacity}$ mL $= \\var{numdrops}$ drops/$\\var{capacity}$ mL $= \\dfrac{\\var{numdrops} \\text{ drops}}{\\var{capacity} \\text{ mL}}=\\dfrac{\\var{numdrops}}{\\var{capacity}} \\text{ drops/mL}$.

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 So we just need to do the division to determine the number of drops per mL.

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$\\dfrac{\\var{numdrops}}{\\var{capacity}} \\text{ drops/mL}=\\var{ans4} \\text{ drops/mL}$

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In other words the rate is equivalent to $\\var{ans4}$ drops per mL.

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We can also approach these questions like ratios.

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Think of $\\var{numdrops}$ drops per $\\var{capacity}$ mL as the ratio $\\var{numdrops}$ drops : $\\var{capacity}$ mL.

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We can multiply or divide both sides of this ratio by any non-zero number to get an equivalent ratio. Since we want to know about drops per mL, we divide both sides by $\\var{capacity}$.

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$\\var{numdrops} \\text{ drops} \\,:\\, \\var{capacity} \\text{ mL} = \\var{numdrops}\\div \\var{capacity}\\text{ drops}\\, :\\, \\var{capacity} \\div \\var{capacity} \\text{ mL} = \\var{ans4} \\text{ drops}\\,:\\, 1\\text{ mL}$.

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In other words there are $\\var{ans4}$ drops per mL.

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Calculating rates and scaling rates. Drops per mL and drops per minute questions equivalent rate to unit rate.

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