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Olenka [21]
3 years ago
10

En una fábrica de refrescos se envasan 1100 litros en 400 envases, unos de 2 litros y otros de 3 litros. ¿Cuantos envases de 2 y

3 litros se utilizan?
Mathematics
1 answer:
nalin [4]3 years ago
4 0

<em>Greetings from Brasil...</em>

X = 2 liter container

Y = 3 liter container

the total of containers are:

X + Y = 400

the capacity of the containers is

2X + 3Y = 1100

Assembling the equation system

2X + 3Y = 1100

X + Y = 400       x(-2)

2X + 3Y = 1100

<u>-2X  -2Y = - 800    </u>

<h3>Y = 300</h3>

X + Y = 400    so

X + 300 = 400

X = 400 - 300

<h3>X = 100</h3>

----------------------------------------------------------

<em>BR:</em>

<em>Observe que:</em>

<em>1 vasilha de 2L = 1 × 2 = 2L</em>

<em>2 vasilhas de 2L = 2 × 2 = 4L</em>

<em>3 vasilhas de 2L = 3 × 2 = 6L</em>

<em>X vasilhas de 2L = X × 2 = 2X litros</em>

<em>.....</em>

<em>1 vasilha de 3L = 1 × 3 = 2L</em>

<em>2 vasilhas de 3L = 2 × 3 = 4L</em>

<em>3 vasilhas de 3L = 3 × 3 = 6L</em>

<em>X vasilhas de 3L = X × 3 = 3X litros</em>

<em>Logo 2X + 3Y = 1100</em>

<em>Existem X e Y vasilhas que num total sao 400, logo</em>

<em>X + Y = 400</em>

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