Question

A person spent ₹630 in buying books and pens, if each book cost ₹23 and each pen cost ₹5, the tital number of books and pen bought was 108. How many of each did he buy?

Answer 1

Step-by-step explanation:

Let no. of books be x and no. of pen be y

.

. . book =23x and pens =5y

23x+5y= 630. 1

x+y=108. 2

multiply 5 to equation 2

5x+5y=540

subtract equation 2 from 1

23x+5y=630

- 5x-5y=-540

---------------------

18x=90

x=90 /18

x =5

substitute x=5 in equation 2

5+y = 108

y=108-5

y=103

.

. . no. of books are 5 and no. of pens are 103

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Answer 2

Answer:

Number of books person buys= 103 and Number of pens= 103

Step-by-step explanation:

Case: 1

           Let the no. of books person buys = x

            and no. of pens person buys = Y

                                       According to condition

                                       23X + 5Y = 630   ........................... 1

Case: 2

                             X + Y = 108  ............................... 2

                           x= 108 -- Y........ 3

put the value of X in equation 1

S0, 23(108-y) + 5Y = 630

      2484 - 23Y +5Y = 630

        2484 -18Y =630

        138 - Y = 35

                -Y=35-138

                 -Y= -103

                   Y = 103

      PUT THE VALUE OF Y IN EQUATION 3

                      X = 108-- 103

                          X = 5

Hope you got it