1. Form the pair of linear equations in the following problems, and fi

1.	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» 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.

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»

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.

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