Question

Daca se aseaza cate 3 flori intr-o vaza raman 8 flori fara vaza.Daca se aseaza cate 5 flori intr-o vaza raman 2 vaze goale.Cate vaze si cate flori sunt?

Answer 1

Răspuns:  9 vaze si 35 flori

Explicație pas cu pas:

Datele problemei

Notez cu ,,v" = numarul vazelor

3 × v + 8 → cate 3 flori in vaza, raman 8 flori

5 × ( v - 2 ) → cate 5 flori in vaza, raman 2 vaze goale

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5 × ( v - 2 ) = 3 × v + 8 → flori

5 × v - 10 = 3 × v + 8

5 × v - 3 × v = 8 + 10

2 × v = 18

v = 18 : 2        ⇒  v = 9 ( vaze)

3 × 9 + 8 = 27 + 8 = 35 flori

sau:

5 × ( 9 - 2 ) = 5 × 7 = 35 flori

Answer 2

5 × ( v - 2 ) = 3 × v + 8

5 × v - 5 × 2 = 3 × v + 8

5 × v - 10 = 3 × v + 8

5 × v - 3 × v = 8 + 10

2 × v = 18

v = 18 : 2

v = 9 vaze

5 × ( 9 - 2 ) =

5 × 7 = 35 flori