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marishachu [46]
3 years ago
8

La un concurs de matematica se dau 40 de probleme. Pentr fiecare raspuns corect se acorda 7 puncte, iar pentru fiecare raspuns g

resit se scad 5 puncte.La sfarsit,un elev a obtinut 232 de puncte.Cate raspunsuri corecte si cate raspunsuri gresite a dat elevul?
Mathematics
1 answer:
Ratling [72]3 years ago
6 0

Answer:

a primit 36 ​​corect ane 4 în mod greșit

Step-by-step explanation:

În această întrebare, ne preocupăm să calculăm numărul de răspunsuri corecte și de răspunsuri greșite pe care elevul le-a dat.

În primul rând, începem prin atribuirea de variabile.

Numărul de răspunsuri corecte să fie x în timp ce numărul de răspunsuri greșite să fie y

Deoarece există 40 de probleme în total, aceasta înseamnă că adăugarea ambelor este egală cu 40 matematic,

x + y = 40. ••• (i)

Acum să trecem la partea complicată. Fiecare răspuns corect = +7. Răspunsul corect total este astfel + 7x Fiecare răspuns greșit este = -5. Răspunsul total greșit este astfel -5y Punct total marcat = 232 Aceasta

înseamnă că; 7x -5y = 232 ••••••••• (ii)

De la i, putem spune y = 40 -x să punem acest lucru în ecuație

ii 7x -5 (40-x) = 232

7x - 200 + 5x = 232

12x = 232 + 200 12x = 432 x = 432/12 x = 36 Deoarece y = 40 - x y = 40 - 36 y = 4

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