A fruit vendor has 732 apples and 942 oranges.He distributes these fruits among the students of an orphange, such that each of them gets either only apples or only oranges in equal number.find the least possible number of students.
Answers
Answer:
45 fruits
Step-by-step explanation:
Fruit vendor has 990 apples and 945 oranges
And He packs them into basket. Each basket contains only one of the two fruit but in equal number of fruits to be put in each basket in order to have minimum number of basket.
So we have to find the Highest common factor of numbers of apples and oranges , As :
990 = 2 × 3 × 3 × 5 × 11
And
945 = 3 × 3 × 3 × 5 × 7
So,
HCF ( 990 , 945 ) = 3 × 3 × 5 = 45 ,
So,If he packs 45 of a kind of fruit in one basket he can pack all of his fruits in minimum numbers of basket.
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Answer:
Step-by-step explanation:
Least no. of students
No. of fruits (either 0 or A) given to each should be max
H.C.F of 732 & 942
No. of fruits given to each students
79
2
=122×6;942=157×6
∴ H.C.F=6
∴ No of students =
6
732
+
6
942
=122+157=279