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boyakko [2]
3 years ago
12

En una tienda venden pepitas de chocolate y nueces. 2 libras de pepitas de chocolate y libras de nueces cuestan $20 en total. 8

libras de pepitas de chocolate y 3 libras de nueces cuestan $29 en total. Hallar cuánto cuesta cada libra de pepitas de chocolate y cada libra de nueces.
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
4 0

Responder:

$ 2.5 y $ 3

Explicación paso a paso:

Paso uno:

datos dados

Sea xey el costo por libra de chispas de chocolate y nueces, respectivamente

por lo tanto

2x + 5y = 20 ------ 1

y

8x + 3y = 29 ------ 2

resolviendo 1 y 2 simultáneamente tenemos

2x + 5y = 20 (multiplicar la ecuación por 4)

8x + 20y = 80 ------------- 3

restar eqn 2 de 3

8x + 20y = 80 ------------- 3

8x + 3y = 29 ----------------- 2

0 + 17 años = 51

divide ambos lados por 17

y = 51/17

y = 3

El costo de las nueces por libra = $ 3

poner y = 3 en 8x + 3y = 29 ------ 2

8x + 3 (3) = 29 ------ 2

8x + 9 = 29

8x = 29-9

8x = 20

divide ambos lados entre 8

x = 20/8

x = 2,5

El costo del chocolate por libra = $ 2.5

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