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Alisiya [41]
3 years ago
10

João gosta muito de animais de estimação e de charadas. Certo dia um amigo perguntou-lhe quantos cachorros e quantos gatos ele t

inha. Prontamente João respondeu com o seguinte enigma: "A soma do dobro do número de cachorros e do triplo do número de gatos é igual a 17. E a diferença entre o número de cachorros e de gatos é apenas 1". Será que você consegue desvendar esse enigma e descobrir quantos cachorros e quantos gatos João possui? a) 3 e 4 b) 4 e 2 c) 2 e 5 d) 1 e 6
Mathematics
1 answer:
anastassius [24]3 years ago
3 0

Responda:

a) 3 e 4

Explicação passo a passo:

Deixei :

Número de cães = x

Número de gatos = y

2x + 3y = 17 - - - - (1)

x - y = 1 - - - - (2)

De (2)

x = 1 + y

Coloque em (1)

2 (1 + y) + 3y = 17

2 + 2y + 3y = 17

2 + 5y = 17

5y = 17 - 2

5y = 15

y = 15/5

y = 3

x = 1 + y

x = 1 + 3

x = 4

Número de cães = x = 4

Número de gatos = y = 3

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