when a fixed stock of oranges was equally distributed among some boys,each of the boys got 5oranges. had the number of boys been 40less, each boy would have got 6oranges. find the total number of boys and the total number of oranges in the stock.
Answers
Answer:
Let the amount distributed to each individual be x Rs.
When the amount was distributed to 14 boys
∴amount received by each boy=14x
When the amount was distributed to 18 boys
∴amount received by each boy=18x
According to question,
14x−18x=80
⇒18×1418x−14x=80
⇒18×144x=80
⇒x=418×14×80
⇒x=5040
Total amount=x=5040 Rs.
GIVEN :-
Firstly each boy got = 5 oranges
Reduced number of boys = 40
therefore each boy got 6 oranges less
TO FIND :-
Total number of boys = ?
Total number of oranges in stock = ?
SOLUTION :-
Let the number of boys be ' x '
Each boy got 5 oranges (given)
Therefore,
Number of oranges = 5x (1)
When number of boys gets less by 40
Number of boys = (x - 40)
Also,
Each boy gets 6 oranges less
Total number of oranges = 6(x - 40) = 5x
6x - 240 = 5x
6x - 5x = 240
x = 240 (2)
Therefore,
Number of boys = 240
Number of oranges = 5x. (from 1)
Number of oranges = 5 × 240. (from 2)
Number of oranges = 1200
FINAL ANSWER
NUMBERS OF BOYS IS 240 AND NUMBER OF ORANGES IN STOCK IS 1200.