1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
uysha [10]
3 years ago
15

Un cliente de un supermercado ha pagado un total de 240 por 16 litros de leche,4kg de hamon serrano y 8 litros de aceite de oliv

a. Sabiendo que 1 litro de aceite cuesta el tripe de 1 litro de leche; t que 1kg de jamon cuesta igual que el cliente tendria que pagar si hubiera comprado 5 litros de leche, 1kg de jamon serrano y 3 litros de aceite de oliva
Mathematics
1 answer:
Vaselesa [24]3 years ago
4 0

Answer:

1 litro de leche cuesta 2.5

1 kg de jamón serrano cuesta 35

1 litro de aceite de oliva cuesta 7,5

Step-by-step explanation:

Pregunta correcta completa

Un cliente de un supermercado ha pagado un total de 240 por 16 litros de leche,4kg de hamon serrano y 8 litros de aceite de oliva. Sabiendo que 1 litro de aceite cuesta el tripe de 1 litro de leche; que 1kg de jamon cuesta igual que el cliente tendria que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva. Calcule el precio de cada artículo.

Solución

Deje que el precio de un litro de leche, un kilogramo de jamón serrano y un litro de aceite de oliva sea x, y y z respectivamente.

16 litros de leche, 4 kg de hamon serrano y 8 litros de aceite de oliva cuestan 240

16x + 4y + 8z = 240 (ecuación 1)

1 litro de aceite cuesta el triple de 1 litro de leche

z = 3x (ecuación 2)

Y ese 1 kg de jamón cuesta lo mismo que el cliente tendría que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva.

y = 5x + 3z (ecuación 3)

Sustituyendo las ecuaciones 2 y 3 en la ecuación 1

16x + 4(5x + 3z) + 8(3x) = 240

16x + 20x + 12z + 24x = 240

Recordemos que z = 3x

36x + 12(3x) + 24x = 240

36x + 36x + 24x = 240

96x = 240

x = (240/96) = 2.5

z = 3x = 3 × 2.5 = 7.5

y = 5x + 3z = (5×2.5) + (3×7.5) = 35

English Translation

A supermarket customer has paid a total of 240 for 16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil. Knowing that 1 liter of oil costs the tripe of 1 liter of milk; t that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil. Calculate the price of each item.

Solution

Let the price of a liter of milk, a kilogram of Serrano ham and a liter of olive oil be x, y and z respectively.

16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil cost 240

16x + 4y + 8z = 240 (eqn 1)

1 liter of oil costs the triple of 1 liter of milk

z = 3x (eqn 2)

And that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil

y = 5x + 3z (eqn 3)

Substituting eqn 2 and 3 into eqn 1

16x + 4(5x + 3z) + 8(3x) = 240

16x + 20x + 12z + 24x = 240

Recall that z = 3x

36x + 12(3x) + 24x = 240

36x + 36x + 24x = 240

96x = 240

x = (240/96) = 2.5

z = 3x = 3 × 2.5 = 7.5

y = 5x + 3z = (5×2.5) + (3×7.5) = 35

1 liter of milk costs 2.5

1 kg of Serrano ham costs 35

1 liter of olive oil costs 7.5

Hope this Helps!!!

You might be interested in
If the experiment is consisting of rolling a fair die once, find:
Lerok [7]

question one

1, 2, 3, 4, 5, 6

question two

3/6 or 1/2

question three

3/6 or 1/2

question four

2/6 or 1/3

question five

4/6 or 2/3

you use the list from question one, and count how many fit the criteria and put that number over the total ( which is 6 in this case )

7 0
2 years ago
A map of a park is created on a coordinate plane. Each until on the map represents 1 kilometer. A tennis court is located at (0,
pogonyaev

Answer:

Jul 11, 2016 · - Gush Tela, a 54-year-old man who was forced to flee with his family after the town of Humera, located in Ethiopia's Tigray region, was shelled by the Ethiopian Army. He was describing the scene he encountered as he returned to the town several days later; he and his family are now in a refugee camp in Sudan (as quoted on The Guardian )

Step-by-step explanation:

7 0
3 years ago
PLSSS HELP IF YOU TURLY KNOW THISS
lesantik [10]

Answer:

x=4 hope this helps

Step-by-step explanation:

3 0
2 years ago
I need help with number 5 please
JulsSmile [24]
C(t) = $2t + $8

This tells us that the basic cost of the pizza is $8, with no toppings, and that each topping costs an additional $2.

To graph this, plot a dot at (0,$8).  Now move y our pencil point 1 unit to the right and then 2 units up.  Plot a dot at this new location.  Now draw a straight line connection (0, $8) and this new location (which is   (1, $10)  ).

5 0
3 years ago
HELPPP PLEASEE 10 POINTS
Sladkaya [172]

Answer:

I got 31,529.8281

Step-by-step explanation:

I just replaced minimum with one(if i can do that).

If it's not right sorry.

7 0
3 years ago
Other questions:
  • The shaded portion of the model represents the decimal 0.43. Which decimal completes the statement to make it true? ___ > 0.4
    12·1 answer
  • A collection of dimes and nickels is worth $8.40 there are 106 coins how many of each are there
    5·1 answer
  • to solve x+11=23,Jasmine subtracted 11 from both sides of the equation. which property justifies this step?
    5·2 answers
  • A theater group charges $12.50 per ticket for its opening play of the season. Production costs for the play are $150. Which func
    12·1 answer
  • 20/48 written in simplest form
    11·1 answer
  • Which is the graphed of y=|-2x+1|?
    9·1 answer
  • I need the help as soon as possible
    7·2 answers
  • What does f(3)= ? <br> Please help answer me
    10·1 answer
  • What is the root of 105 to 2 decimal places
    13·1 answer
  • Calculate the distance between (2, -2) and (-3, -1).
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!