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
Hunter-Best [27]
3 years ago
11

Letizia y Marta han ido de compras en las rebajas la primera ha comprado unos pantalones de $42 y una camisa de $24 y la segunda

un suéter de $28 y unos zapatos de $60. despues de aplicar los descuentos Letizia a pagado $50,4 y Marta $64,4. calcular los porcentajes de descuentos aplicados sabiendo que el porcentaje aplicado a los pantalones y al suéter coincidían y el aplicado a la camisa y a los zapatos también.
​
Mathematics
2 answers:
kari74 [83]3 years ago
6 0

Answer:

percentage applied to pants and sweater is 80%, and that applied to shirt and shoes is 70%

Step-by-step explanation:

<u>Question in English</u>

Leticia and Marta have gone Shopping in the sales. The First has bought $ 42 pants and a $ 24 shirt, and the second has bought a $ 28 sweater and $ 60 shoes. After applying the discounts, Leticia has paid $ 50.4 and Marta $ 64.4. Calculate the percentages of discounts applied knowing that the percentage applied to the pants and the sweater matched and that applied to the shirt and shoes as well.

<u>Solution</u>

Leticia = 42 + 24 = 50.4

Marta = 28 + 60 = 64.4

The percentage applied to the pants and the sweater coincided (that is, it is x) and that applied to the shirt and shoes also (that is, it is y)

Thus,

1) 42x + 24y = 50.4

2) 28x + 60y = 64.4

obtaining and in 1 we have

y = 50.4 - 42x / 24

y = 2.1 - 1.75x

Substituting and in 2 we obtain

28x + 60y = 64.4

28x + 60 (2.1 - 1.75x) = 64.4

28x + 126 - 105x = 64.4

126 - 64.4 = 105x - 28x

x = 61.6 / 77

x = 0.8

Substituting x into 1 gives:

42x + 24y = 50.4

42 (0.8) + 24y = 50.4

33.6 + 24y = 50.4

y = 50.4 -33.6 / 24

y = 0.7

Therefore, the percentage applied to pants and sweater is 80%, and that applied to shirt and shoes is 70%

egoroff_w [7]3 years ago
4 0

Answer:

El descuento aplicado a los pantalones y suéteres es del 20%, mientras que el descuento aplicado a las camisas y zapatos es del 30%.

Step-by-step explanation:

dado que el porcentaje de descuento pagado por pantalones y suéteres coincide, que sea x%.

Dado que el porcentaje de descuento para la camisa y los zapatos coincide, que sea y%.

Comencemos con el monto pagado por pantalones y suéteres.

Para pantalones x% de 42 = x / 100 * 42 = 42x / 100 = 0.42x

Cantidad pagada = 42-0.42x

Para suéteres, x% de 28 = x / 100 * 28 = 0.28x

Cantidad pagada = 28-0.28x

Ahora para camisas y zapatos.

Camisa; y% de 24 = y / 100 * 24 = 0.24y importe pagado = 24-0.24y

Zapatos y% de 60 = y / 100 * 60 = 0.6y monto pagado = 60-0.6y

Vamos a proceder Matemáticamente, el monto que Letizia pagó por los pantalones y las camisas será;

42-0.42x + 24-0.24y = 50.4 66- 50.4 = 0.24y + 0.42x

0.42x + 0.24y = 15.6

Multiplica por 100 42x + 24y = 1560

la cantidad que pagó Marita por el suéter y el zapato; 60-0.6y + 28-0.28x = 64.4

88-64.4 = 0.6y + 0.28x 23.6 = 0.6y + 0.28x multiplicar por 100

60y + 28x = 2360

Entonces tenemos dos ecuaciones para resolver simultáneamente para obtener los valores de x e y

42x + 24y = 1560 28x + 60y = 2360

De 1,

24y = 1560-42x y = (1560-42x) / 24

inserte esto en la segunda ecuación 28x + 60 ((1560-42x) / 24) = 2360

28x + 2.5 (1560-42x) = 2360 28x + 3900 - 105x = 2360

105x-28x = 3900-2360

77x = 1540

x = 1540/77 = 20%

y = (1560-42x) / 24

y = (1560-42 (20)) / 24

y = 720/24 = 30%

El descuento aplicado a los pantalones y suéteres es del 20%, mientras que el descuento aplicado a las camisas y zapatos es del 30%.

You might be interested in
Please help on the half circle one
yan [13]

Answer:

28.26

Step-by-step explanation:

Area of a circle is pi * radius squared

The diameter is 6, so the radius is 3

pi * 3^2 = 3.14 * 9 = 28.26

5 0
2 years ago
Solve x2 − 12x + 5 = 0 using the completing-the-square method. x = six plus or minus the square root of five x = negative six pl
Andru [333]

we are given

x^2-12x+5=0

we have to solve it by completing square method

step-1: Move 5 on right side

x^2-12x+5-5=0-5

x^2-12x=-5

step-2: Break middle term

x^2-2*6*x=-5

step-3: Add 6^2 both sides

x^2-2*6*x+(6)^2=-5+(6)^2

(x-6)^2=31

step-3: Solve for x

\sqrt{(x-6)^2} =\sqrt{31}

we wil get two values

First value is

x-6=\sqrt{31}

add both sides 6

x-6+6=6+\sqrt{31}

x=6+\sqrt{31}

Second value is

x-6=-\sqrt{31}

add both sides 6

x-6+6=6-\sqrt{31}

x=6-\sqrt{31}

so, solutions are

x=6+\sqrt{31}

x=6-\sqrt{31}.............Answer

5 0
3 years ago
Amy and John shared 150 peaches. (1/3) of what Amy has equals to (1/2) of what John has. How many does Amy have? How many does J
frosja888 [35]
If my math is correct amy has 90 and john has 60
8 0
3 years ago
Read 2 more answers
Can you help me with this markup or discount?
Marizza181 [45]

Answer:

$33.66

Step-by-step explanation:

3 0
3 years ago
Use the given numbers above the table in multiplying integers and to fill in the blanks inside the box.​
Jet001 [13]

Answer:

Step-by-step explanation:

1 × 5 = 5

(- 2) × (- 3) = 6

4 × (- 6) = - 24

I hope I've helped you.

8 0
3 years ago
Read 2 more answers
Other questions:
  • I have 3 countries (Germany, usa, China) with 3 statistics (people per square km, internet users per 100 people, cell phone owne
    10·1 answer
  • The ratio of marbles to stones in a large pot 6 to 7. if there are 42 marbles, then how many stones are there
    11·1 answer
  • Reduce 18/45 to lowest terms
    5·1 answer
  • estimste the population of a box of turtles after 15 months A.) 90 turtles B.) 40 turtles C ) 150 turtles C.) 440 turtles​
    10·2 answers
  • I still need help answering these questions
    13·1 answer
  • What is the approximate sum of this series?<br> multiple choice
    15·2 answers
  • Amadahy wants to buy a card and two gifts for her friend. Cards cost 3.49 each and gifts cost $10.63 each. Amadahy has a 20$ bil
    9·1 answer
  • Please help!!!!!!!!!!​
    6·1 answer
  • PLEASE ANSWER FOR 30 POINTS
    7·1 answer
  • write the equation of the line that satisfies the given conditions.give the equation (a) in the slope-intercept form and (b) in
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!