Question

A total of ₹10000 is distributed among 150 persons as gift. A
gift is either of 50 or 100. Find the number of gifts of each
type.

Answer 1

Step-by-step explanation:

Answer

Let the number of boys =x

then number of girls =150−x

According to the problem, the total money divided between girls and boys are:

100

50

×(x)+

100

25

(150x)=50

Multiply equation by 100, we get

50x+(150x)25=5000

⇒50x+375025x=5000

⇒25x=1250

⇒x=50

Answer 2

Answer:

Let the no. of gift of 50 be x

and the no. of gift of 100 be y

50x + 100y = 10000 ( eq 1)

x + y = 150 ( eq 2)

now using elimination method.

multiply (eq 2) by 50

50x + 50y = 7500 ( eq 3)

now subtract ( eq 1) from ( eq 3)

50x + 50y = 7500

50x + 100y = 10000

- - - ( sign changed)

= -50y = - 2500

= y = 50

putting the value of y in ( eq 2 )

x + 50 = 150

x = 100

hence the value of x is 100 and value of y is 50

this implies that gift of Rs 50 is distributed among 100 people and gift of Rs 100 is distributed among 50 people.

Hope this help you.

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