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V125BC [204]
3 years ago
15

intr-o florarie sunt 840 flori:lalele trandafiri crizanteme.Stiind ca daca impartim numarul lalelelor la nr total de trandafiri

si crizanteme obtinem catul 3,restul 8 si ca nr trandafirilor este cu doi mai mare decat nr crizantemelor, sa se afle nr flori
Mathematics
1 answer:
AnnyKZ [126]3 years ago
5 0

Răspuns:

Trandafiri = 105

Lalele = 632

Crizanteme = 105

Explicație pas cu pas:

Lăsa :

Trandafiri = x

Lalea = y

Crizanteme = z

x + y + z = 840

x = z + 2

y / (z + z + 2) = 3 r 8

y / (2z + 2) = 3 restul 8

y = (2z + 2) (3) + 8

y = 6z + 6 + 8

y = 6z + 14

x = z + 2

y = 6z + 14

x + y + z = 840

Înlocuiți x și y în ecuația:

z + 2 + 6z + 14 + z = 840

8z + 16 = 840

8z = 840 - 16

8z = 824

z = 824/8

z = 103

x = z + 2

x = 103 + 2

x = 105

y = 6z + 14

y = 6 (103) + 14

y = 632

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