Form the pair of linear equations in the followingproblems, and find their solution graphially:

(i) 10 students of class X took part in 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 pencil and 7 pens together cost Rs 50, whereas 7 pencils and 5 pens together cost Rs 46. Find the cost of one pencil and a pen.

(iii) Champa went to a 'sale' to purchase some pants and skirts. When her friends asked her how many of each she had bought, she answered, "The number of skirts is two less than four times the number of pants purchased." Help her friends to find how many pants and skirts Champa bought.

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Solution

(i) Girls = 7, Boys = 3

(ii) Pencil: Rs 3, Pen Rs 5

(iii) Pant = 1; Skirt = 0

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Q. Form the pair of linear equations in the following problems, and find their solution graphically:

(i) 10 students of class X took part in 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 Rs 50, whereas 7 pencils and 5 pens together cost Rs 46. Find the cost of one pencil and a pen.

(iii) Champa went to a 'sale' to purchase some pants and skirts. When her friends asked her how many of each she had bought, she answered, "The number of skirts is two less than twice the number of pants purchased. Also the number of skirts is four less than four times the number of pants purchased." Help her friends to find how many pants and skirts Champa bought.

Form the pair of linear equations in the following problems, and find their solution graphically:

Champa went to a 'sale' to purchase some pants and skirts. When her friends asked her how many of each she had bought, she answered, "The number of skirts is two less than four times the number of pants purchased." Help her friends to find how many pants and skirts Champa bought.

Neha went to a 'sale' to purchase some pants and skirts. When her friend asked her how many of each she had bought, she answered: "The number of skirts is two less than twice the number of pants purchased". Also, the number of skirts is four less than four times the number of pants purchased. Help her friend to find how many pants and skirts Neha bought.

Form the linear equations for the following problems

i) The number of skirts is two less than twice the number of pants purchased moreover, the number of skirts is four times the number of pants purchased.

ii) The number of girls is