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Stels [109]
2 years ago
10

Bilet ulgowy do cyrku jesto 10 zł tańszy od biletu normalnego za 3 bilety normalne i 2 ulgowe zapłacono 160 zł ile należało by z

apłacić za 2 bilety normalnei 1 bilet ulgowy
Mathematics
1 answer:
kipiarov [429]2 years ago
3 0

Answer:

Kwota zapłacona za 2 bilety normalne i 1 bilet ulgowy wynosi 98 złotych

Step-by-step explanation:

Po pierwsze, zadeklarujmy zmienne. Niech kwota zapłacona za normalne bilety wyniesie n złotych, a kwota zapłacona za bilety zniżkowe będzie d złotych

Od pierwszej części pytania powiedziano nam, że kwota za bilet ulgowy jest o 10 złotych mniejsza niż w przypadku biletu normalnego.

Stąd matematycznie n = d + 10 ......... (i)

Mówi się nam również, że kwota zapłacona za 3 normalne bilety i 2 bilety ze zniżką wynosi 160 złotych

Matematycznie można to zapisać jako;

3n + 2d = 160 .................... (ii)

Teraz, aby uzyskać kwotę zapłaconą za dwa bilety normalne i jeden bilet zniżkowy, musimy najpierw znaleźć kwotę zapłaconą za każdy bilet, korzystając z dwóch powyższych równań. Teraz zamień (i) na (ii)

mamy; 3 (d + 10) + 2d = 160

3d + 30 + 2d = 160

5d + 30 = 160

5d + 160-30

5d = 130

d = 130/5

d = 26 złotych

Kwota zapłacona za normalny bilet wynosi zatem = 26 + 10 = 36 złotych

Znajdując kwotę zapłaconą za 2 bilety normalne i 1 bilet zniżkowy, mamy 2 (36) + 26 = 72 + 26 = 98 złotych

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