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pshichka [43]
3 years ago
12

Vicente se gasta 20 euros en un pantalón y una camisa. No sabe el precio de cada prenda, pero sí sabe que la camisa vale dos qui

ntas partes de lo que vale el pantalón. ¿Cuánto vale el pantalón?
Mathematics
1 answer:
Vlad1618 [11]3 years ago
8 0

Answer:

14.3€

Step-by-step explanation:

Let:

C=Price\hspace{3}of\hspace{3}the\hspace{3}shirt\\P=Price\hspace{3}of\hspace{3}the\hspace{3}pants\\T=Total\hspace{3}cost

Now, let's write the data provided by the problem, using algebraic notation.

The total cost of the clothes is 20€, so:

P+C=T\\\\P+C=20

The price of the shirt is :

C=\frac{2}{5} P

Replacing this value into the first equation:

P+\frac{2}{5} P=20

Solving for P:

\frac{7}{5} P=20\\\\P=\frac{100}{7} \approx 14.3

So, the price of the pants is 14.3€ and the price of the shirt is:

C+14.3=20\\\\C=20-14.3=5.7

Translation:

Deja que:

C=Precio\hspace{3}de\hspace{3}la\hspace{3}camisa\\P=Precio\hspace{3}del\hspace{3}pantalon\\T=Costo\hspace{3}total

Ahora, escribamos los datos proporcionados por el problema, usando notación algebraica.

El costo total de la ropa es de 20 €, entonces:

P+C=T\\\\P+C=20

El precio de la camisa es:

C=\frac{2}{5} P

Reemplazando este valor en la primera ecuación:

P+\frac{2}{5} P=20

Resolviendo para P:

\frac{7}{5} P=20\\\\P=\frac{100}{7} \approx 14.3

Entonces, el precio del pantalón es de 14.3 € y el precio de la camisa es:

C+14.3=20\\\\C=20-14.3=5.7

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