Math  /  Algebra

Question17. A patient is delivered 270 cGy on a 10 MV unit via a single field. The MU is determined to be 350 . If a wedge with a factor of 0.79 is placed, what is the new MU?

Studdy Solution

STEP 1

1. The initial dose delivered is 270 cGy.
2. The initial monitor units (MU) without the wedge is 350 MU.
3. A wedge with a factor of 0.79 is introduced.
4. We need to find the new MU required to deliver the same dose with the wedge in place.

STEP 2

1. Understand the relationship between dose, MU, and wedge factor.
2. Set up the equation to solve for the new MU.
3. Solve the equation to find the new MU.

STEP 3

Understand the relationship between dose, MU, and wedge factor.
The dose delivered is proportional to the product of the MU and the wedge factor. Introducing a wedge reduces the dose delivered per MU by the wedge factor.

STEP 4

Set up the equation to solve for the new MU.
The equation relating the initial MU, wedge factor, and new MU is:
Initial MU×Wedge Factor=New MU \text{Initial MU} \times \text{Wedge Factor} = \text{New MU}
Substitute the known values:
350×0.79=New MU 350 \times 0.79 = \text{New MU}

STEP 5

Solve the equation to find the new MU.
Calculate the new MU:
New MU=3500.79 \text{New MU} = \frac{350}{0.79}
Perform the division:
New MU443.04 \text{New MU} \approx 443.04
Round to the nearest whole number if necessary:
The new MU is approximately 443 \boxed{443} .

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