A fruit vendor has $732$ apples and $942$ oranges. He distributed these fruits among the students of an orphanage, such that each of them gets either apple or only oranges in equal number. Find the least possible number of students.

Open in App

Solution

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
$79^{2} = 122 \times 6; 942 = 157 \times 6$
$∴ H . C . F = 6$
$∴$ No of students $= \frac{732}{6} + \frac{942}{6} = 122 + 157 = 279$

Suggest Corrections

Similar questions

A bag contains 35 apples and 28 bananas. They are distributed to 7 students such that all have equal number of apples and oranges .How many fruits does each student get? [2 MARKS]

Q. A fruit vendor has

36

bananas,

42

apples,

30

oranges and

24

guavas. The fruit vendor decides to make identical fruit baskets. He wants at least one banana, apple, orange and guava in each basket. Find the maximum number of fruit baskets that can be made.

There are 30 students in a class. On independence day, different fruits that were distributed among the students (one for each student) are listed below

orange,apple,apple,apple,banana,orange

guava, guava, apple,guava,orange,mango

mango,mango,orange,guava,guava,mango

banana,banana,banana,orange,banana,mango

banana,banana,guava,guava,orange,guava

How many students got the fruit which is least in quantity?

Q. A fruit vendor has 36 bananas, 42 apples, 30 oranges and 24 guavas. The fruit vendor decides to make identical fruit baskets with the same number of bananas, apples, oranges and guavas in each basket. The minimum number of apples in each basket is .

A person wanted to distribute 96 apples and 112 oranges among poor children in an orphanage. He packed all the fruits in boxes in such a way that each box contains fruits of the same variety, and also every box contains an equal number of fruits.
(i) Find the minimum number of boxes in which all the fruits can be packed?
(ii) Which concept have you used to find it?
(iii) Which value of this person has been reflected in above situation?

Join BYJU'S Learning Program

A fruit vendor has 732 apples and 942 oranges. He distributed these fruits among the students of an orphanage, such that each of them gets either apple or only oranges in equal number. Find the least possible number of students.

Least no. of studentsNo. of fruits (either 0 or A) given to each should be maxH.C.F of 732 & 942No. of fruits given to each students 792=122×6;942=157×6∴ H.C.F=6∴ No of students =7326+9426=122+157=279

A fruit vendor has $732$ apples and $942$ oranges. He distributed these fruits among the students of an orphanage, such that each of them gets either apple or only oranges in equal number. Find the least possible number of students.

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
$79^{2} = 122 \times 6; 942 = 157 \times 6$
$∴ H . C . F = 6$
$∴$ No of students $= \frac{732}{6} + \frac{942}{6} = 122 + 157 = 279$