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

Solution: 

Total number of gifts = 150 

Let the number of $50 is x

Then the number of gifts of $100 is (150 - x) 

Amount spent on x gifts of $50 = $ 50x

Amount spent on (150 - x) gifts of $100 = $100(150 - x) 

Total amount spent for prizes = $10000

According to the question, 

50x + 100 (150 - x) = 10000 

⇒ 50x + 15000 - 100x = 10000

⇒ -50x = 10000 - 15000

⇒ -50x = -5000 

⇒ x = 5000/50

⇒ x = 100

⇒ 150 - x = 150 - 100 = 50

Therefore, gifts of $50 are 100 and gifts of $100 are 50. 

Answer 2

Step-by-step explanation:

Solution: Total number of gifts = 150 Let the number of $50 is xThen the number of gifts of $100 is (150 - x) Amount spent on x gifts of $50 = $ 50xAmount