A patient's blood glucose is 180mg/dl after treatment it drops to 135mg/dl. What is the percentage decrease?

Mathematics
A patient's blood glucose is 180mg/dl after treatment it drops to 135mg/dl. What is the percentage decrease?

ScanSolve AI Answer

Answer

25%

Step 1: Identify the initial and final blood glucose levels. The initial blood glucose level is 180 mg/dL180 \text{ mg/dL}. The final blood glucose level after treatment is 135 mg/dL135 \text{ mg/dL}.

Step 2: Calculate the absolute decrease in blood glucose. Decrease=InitialValueFinal Value\text{Decrease} = Initial Value - \text{Final Value} Decrease=180mg/dL135 mg/dL\text{Decrease} = 180 mg/dL - 135 \text{ mg/dL} Decrease=45 mg/dL\text{Decrease} = 45 \text{ mg/dL}

Step 3: Calculate the percentage decrease. Percentage Decrease=DecreaseInitialValue×100%\text{Percentage Decrease} = \frac{Decrease}{Initial Value} \times 100\% Percentage Decrease=45mg/dL180mg/dL×100%\text{Percentage Decrease} = \frac{45 mg/dL}{180 mg/dL} \times 100\% Percentage Decrease=14×100%\text{Percentage Decrease} = \frac{1}{4} \times 100\% Percentage Decrease=0.25×100%\text{Percentage Decrease} = 0.25 \times 100\% Percentage Decrease=25%\text{Percentage Decrease} = 25\%

The percentage decrease in blood glucose is: 25%\boxed{25\%}

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Quick Answer

Identify the initial and final blood glucose levels. The initial blood glucose level is 180 mg/dL.

A patient's blood glucose is 180mg/dl after treatment it drops to 135mg/dl. What is the percentage decrease?
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: Identify the initial and final blood glucose levels. The initial blood glucose level is 180 mg/dL. The final blood glucose level after treatment is 135 mg/dL. Step 2: Calculate the absolute decrease in blood glucose. Decrease = Initial Value - Final Value Decrease = 180 mg/dL - 135 mg/dL Decrease = 45 mg/dL Step 3: Calculate the percentage decrease. Percentage Decrease = DecreaseInitial Value × 100\% Percentage Decrease = 45 mg/dL180 mg/dL × 100\% Percentage Decrease = (1)/(4) × 100\% Percentage Decrease = 0.25 × 100\% Percentage Decrease = 25\% The percentage decrease in blood glucose is: 25\%