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Goryan [66]
3 years ago
11

At the local market, Bill buys 3 juice boxes and 2 hot dogs at a cost of $8, while Sarah buys 2 juice boxes and 1 hot dog at a c

ost of $5.
The cost of each juice box is $?, and the cost of each hot dog is $?.
Mathematics
1 answer:
baherus [9]3 years ago
4 0

Answer:

The cost of each juice boxes is $ 2

The cost of each hot dogs is $ 1  .

Step-by-step explanation:

Given as :

The amount which Bill pays for 3 juice boxes and 2 hot dogs = $ 8

The amount which Sarah pays for 2 juice boxes and 1 hot dogs = $ 5

Let The cost of each juice boxes = $ j

And The cost of each hot dogs = $ h

Now, According to question

3 j + 2 h = 8               .........A

2 j + 1 h = 5                 ..........B

Now, solving the equations

2 × (  2 j + 1 h ) = 2 × 5

or, 4 j + 2 h = 10

I.e ( 4 j + 2 h ) - ( 3 j + 2 h ) = 10 - 8

Or, ( 4 j - 3 j ) + ( 2 j - 2 h ) = 2

Or, j + 0 = 2

∴  j = 2

So , The cost of each juice boxes = j = $ 2

Now, Put the value of j in Eq A

I.e  3 × 2 + 2 h = 8

Or, 6 + 2 h = 8

Or. 2 h = 8 - 6

or, 2 h = 2

∴   h = \frac{2}{2} = 1

So, The cost of each hot dogs = h = $ 1

Hence The cost of each juice boxes is $ 2

And The cost of each hot dogs is $ 1  . Answer

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0.1. B) 50%

0.2 A) Psicología

Step-by-step explanation:

01. Dejemos que 'x' e 'y' representen el porcentaje de boquichicos y carachamas en la piscifactoría, tenemos;

Dado que el 30% de los boquichicos es el 20% del número de carachamas

30% x = 20% y

∴ 0.3 · x = 0.2 · y

Por lo tanto, tenemos;

x / y = 0,2 / 0,3 = 2/3

Por lo tanto, por cada 100% de pescado, tenemos;

x + y = 100%

x = 2/3 · y

2/3 · y + y = 100%

5 · años / 3 = 100

y = 100 × 3/5 = 60%

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Por lo tanto, tenemos el 80% del pescado en la granja, obtenemos;

Si hay 100 peces en la granja, 80% = 80 peces

Pero el número de los 100 peces que son boquichicos en la granja = 40% × 100 = 40 peces

Por lo tanto, los boquichicos son la mitad del 80% del número de peces o el 50% de los peces en la piscifactoría.

La opción correcta es;

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02. Tenemos;

El costo de un libro de psicología> El costo de un libro en inglés

El costo de un libro de matemáticas> El costo de un libro de historia

El costo de un libro de psicología> El costo de un libro de matemáticas

Por lo tanto, tenemos;

El costo de un libro de psicología> El costo de un libro de matemáticas> El costo de un libro de historia

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La opción correcta es;

A) Psicología

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