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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%.

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