Question

1. Form the pair of linear equations in the following problems, and find their solutions graphically.
(i) 10 students of Class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz.
(ii) 5 pencils and 7 pens together cost ` 50, whereas 7 pencils and 5 pens together cost ` 46. Find the cost of one pencil and that of one pen.

Answer 1

Step-by-step explanation:

Let the number of girls be x and boys be y.

x+y=10 -1

x= y+4 -2

Substituting 2 in 1:

y+4+y=10

2y= 6

y=3

x= 3+4=7

Number of girls is 7 and boys is 3.