Question

In a quiz, 40 prizes consisting of 1st and 2nd prizes only are to be given. 1st and 2nd prizes are worth ₹ 2500 and ₹ 1500, respectively. If the total prize money is ₹ 85,000, then

(i) The equation formed is
(ii) The number of 1st prizes are 
(iii) The number of 2nd prizes are 

A  
B  
C  
D 

Answer 1

A one is the correct

Step-by-step explanation:

1:-2500x ×1500(40-x)=85000

2:-25

3:-15

please mark me the breanliest ☺️

Answer 2

Given:

40 prizes consisting of 1st and 2nd prizes only are to be given. 1st and 2nd prizes are worth ₹ 2500 and ₹ 1500, respectively. The total prize money is ₹ 85,000.

To Find:

(i) The equation formed

(ii) The number of 1st prizes

(iii) The number of 2nd prizes

Solution:

(i)Let the number of 1st prizes be x

  Let the number of 2nd prizes be y

⇒ x + y = 40                                                  -(1)

Also, 2500x + 1500y = 85000                       -(2)

(ii) From (1), We know that

   x + y = 40

⇒y = 40 - x

So, Equation (2) can be written as

2500x + 1500(40-y) = 85000

⇒2500x + 60000 -1500y = 85000

⇒1000x = 25000

⇒ x = 25

(iii) From (1), We know that

   x + y = 40

⇒y = 40 - x

∴ y = 40 - 25 = 15

Hence,

(i) The equation formed is 2500x + 1500y = 85000

(ii) The number of 1st prizes are 25

(iii) The number of 2nd prizes are 15