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Dimas [21]
3 years ago
7

A recipe for banana oat muffins calls for 3/4 cups of oats. You need to triple the recipe to make enough for your whole family.

How much oats do you need?
Mathematics
1 answer:
Marta_Voda [28]3 years ago
3 0

Answer: 2 and 1/4 cups of oats (9/4 cups of oats)

Step-by-step explanation:

We know that, for the recipe, we need 3/4 cups of oats.

Now, you want to triple the recipe (then you need to use 3 times more ingredients).

This means that, if for the recipe you needed 3/4 cups of oats, when we triple that we have:

3*(3/4 cups) = 9/4 cups

This means that you need to use 9/4 cups of oats.

And we could also write this as:

9/4 cups = 8/4 cups + 1/4 cups = 2 + 1/4 cups of oats.

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Answer:

Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso, las variables a calcular son:

  • x= cantidad de botellas de 2 litros.
  • y= cantidad de botellas de 5 litros.

Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. Entonces es posible plantear el siguiente sistema de ecuaciones:

\left \{ {{2*x+5*y=3000} \atop {x+y=1200}} \right.

Existen varios métodos para resolver un sistema de ecuaciones. Resolviendo por el método de sustitución, que consiste en despejar o aislar una de las incógnitas y sustituir su expresión en la otra ecuación, despejas x de la segunda ecuación:

x= 1200 - y

Sustituyendo la expresión en la primer ecuación:

2*(1200 - y) + 5*y=3000

Resolviendo se obtiene:

2*1200 - 2*y + 5*y= 3000

2400 +3*y= 3000

3*y= 3000 - 2400

3*y= 600

y= 600÷3

y= 200

Reemplazando en la expresión x= 1200 - y:

x= 1200 - y

x=1200 -200

x= 1000

<u><em>Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.</em></u>

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