Răspuns: 113 sticle
Explicație pas cu pas:
Notez cu ,,s" = numarul sticlelor de suc de rosii
s : 15 = cat₁ rest 8 ⇒ s = 15 × c₁ + 8 [ + 7 ⇒ s + 7 = 15 × ( c₁ + 1 )
s : 20 = cat₂ rest 13 ⇒ s = 20 × c₂ + 13 [ + 7 ⇒ s + 7 = 20 × ( c₂ + 1)
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=> s + 7 = c.m.m.m.c al numerelor 15 si 20
15 = 3 x 5
20 = 4 x 5
=> c.m.m.m.c al numerelor 15 si 20 = 3 x 4 x 5 = 60
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100 < s + 7 = M₆₀ < 150
s + 7 = 2 × 60
s = 120 - 7
s = 113 sticle de rosii a preparat mama
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Verific:
113 : 15 = 7 rest 8
113 : 20 = 5 rest 13
