Question

A 35-year-old woman goes to the doctor's office for a periodic check-up. On physical examination, blood pressure was slightly elevated on two occasions, 145/90 and 146/92 mm Hg. It was decided to start pharmacological treatment with Hydrochlorothiazide, whose box has 14 tablets in a 12.5 mg presentation. The normal starting dose is 25 mg every 24 hours orally. 1.1. How many mg and tablets are consumed in 30 days? 1.2. How many boxes should be indicated for the 5-month treatment?

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Answer to a math question A 35-year-old woman goes to the doctor's office for a periodic check-up. On physical examination, blood pressure was slightly elevated on two occasions, 145/90 and 146/92 mm Hg. It was decided to start pharmacological treatment with Hydrochlorothiazide, whose box has 14 tablets in a 12.5 mg presentation. The normal starting dose is 25 mg every 24 hours orally. 1.1. How many mg and tablets are consumed in 30 days? 1.2. How many boxes should be indicated for the 5-month treatment?

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Jon
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107 Answers
**Paso 1:**

1.1 Para encontrar cuántos mg y comprimidos se consumen en 30 días, primero necesitamos calcular cuántos mg se consumen en un día y luego multiplicarlo por 30.

Cada día se toman 25 mg de Hidroclorotiazida.
Entonces, en 1 día se consume: 25 \, mg .

Para encontrar cuántos mg se consumen en 30 días, multiplicamos:

25 \, mg/día \times 30 \, días = 750 \, mg .

Dado que cada comprimido es de 12.5 mg, el número de comprimidos necesarios en 30 días es:

\dfrac{750 \, mg}{12.5 \, mg/comprimido} = 60 \, comprimidos .

Por lo tanto, en 30 días se consumen 750 \, mg y 60 comprimidos.

**Paso 2:**

1.2 Para determinar cuántas cajas se necesitan para un tratamiento de 5 meses, primero calculamos cuántos mg se consumen en 5 meses y luego dividimos entre el número de mg por caja para obtener el número de cajas.

En un mes hay aproximadamente 30 días, por lo tanto, en 5 meses hay 30 \, días/mes \times 5 \, meses = 150 \, días .

La cantidad total de mg consumidos en 5 meses sería 25 \, mg/día \times 150 \, días = 3750 \, mg .

Para determinar cuántas cajas se necesitan, dividimos la cantidad total de mg por el número de mg por caja:

\dfrac{3750 \, mg}{12.5 \, mg/comprimido \times 14 \, comprimidos/caja} = 21.43 \approx 22 \, cajas .

Por lo tanto, se necesitarían aproximadamente 22 cajas de Hidroclorotiazida para un tratamiento de 5 meses.

**Answer:**

1.1 En 30 días se consumen 750 \, mg y 60 comprimidos.
1.2 Se necesitan aproximadamente 22 cajas para un tratamiento de 5 meses.

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