Question

Daca s-ar fi pus cate 5 flori in fiecare vaza ar fi ramas 15 flori, daca s-ar fi pus cate 7 flori in fiecare vaza ar fi ramas 3 vaze libere. Cate flori si vaze sunt?

Answer 1

Notam:
f = nr de flori
v = nr de vaze
f = 5×v+15
f = 7×(v-3)
7×(v-3) = 5×v + 15
7×v-21= 5×v+5
7×v - 5×v = 21+5
2×v = 26
v = 26 :2
v = 13 (vaze)
f = 5×13+15 = 65+15 = 80 (flori)