Questions: A client with a gastrostomy tube (GT) receives a prescription for a 250 ml bolus feeding of Glucerna 60% enteral formula. The nurse should dilute the full-strength formula with how many ml of water? (Enter numeric value only).

A client with a gastrostomy tube (GT) receives a prescription for a 250 ml bolus feeding of Glucerna 60% enteral formula. The nurse should dilute the full-strength formula with how many ml of water? (Enter numeric value only).
Transcript text: A client with a gastrostomy tube (GT) receives a prescription for a 250 ml bolus feeding of Glucerna $60 \%$ enteral formula. The nurse should dilute the full-strength formula with how many ml of water? (Enter numeric value only).
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Solution

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Solution Steps

To solve this problem, we need to determine how much water should be added to the full-strength formula to achieve a specific dilution. The problem states that the formula is 60% enteral, which means 60% of the mixture is the formula, and the remaining 40% should be water. We need to calculate the amount of water that makes up 40% of the total volume.

  1. Let \( x \) be the total volume of the diluted formula.
  2. Since 60% of \( x \) is the formula, we have \( 0.6x = 250 \) ml.
  3. Solve for \( x \) to find the total volume of the diluted formula.
  4. Subtract 250 ml from \( x \) to find the amount of water needed.
Step 1: Determine the Total Volume of the Diluted Formula

To find the total volume of the diluted formula, we use the relationship that 60% of the total volume is the formula. Given that the formula volume is 250 ml, we set up the equation:

\[ 0.6x = 250 \]

Solving for \( x \), the total volume of the diluted formula:

\[ x = \frac{250}{0.6} = 416.\overline{6} \text{ ml} \]

Step 2: Calculate the Amount of Water Needed

The amount of water needed is the difference between the total volume of the diluted formula and the volume of the formula itself:

\[ \text{Water Volume} = x - 250 = 416.\overline{6} - 250 = 166.\overline{6} \text{ ml} \]

Final Answer

The nurse should dilute the full-strength formula with \(\boxed{166.\overline{6} \text{ ml}}\) of water.

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