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1 month ago

În vacanța de vară, Mihai, Maria și

Mathematics

1 answer:

Leona [9.2K]1 month ago

8 0

Răspuns:

Mihai = 12kg

Maria = 15kg

Teodor = 13 kg

Explicație pas cu pas:

Să folosim x pentru cantitatea de plante medicinale adunate de Mihai.

Să denumim y cantitatea adunată de Maria.

Fie z cantitatea de plante medicinale adunate de Teodor.

În vacanța de vară, Mihai, Maria și Teodor au adunat în total 48 de kilograme de mentă;

x + y + z = 48......... 1

Dacă Maria a adunat cu 3 kilograme mai mult decât Mihai, atunci y = x + 3..... 2

Dacă Teodor a adunat de două ori mai puțin decât Mihai, atunci z = y - 2

Deci, z = (x + 3) - 2

Astfel, z = x + 1.... 3

Înlocuim ecuațiile 3 și 2 în ecuația 1;

<pDin ecuația 1:

x + y + z = 40

x + (x + 3) + (x + 1) = 40

3x + 4 = 40

Scădem 4 din ambele părți

3x = 36

x = 12

Substituim x = 12 în ecuația 2 pentru a determina y

y = x + 3

y = 12 + 3

y = 15

De asemenea, z se calculează astfel: z = x + 1

z = 12 + 1

z = 13

Astfel, Mihai a recoltat 12 kg de plante medicinale, Maria a adunat 15 kg, iar Teodor a strâns 13 kg.

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