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

Solution:

Let the number of pants be x and the number of skirts be y.

Given, The number of skirts is two less than twice the number of pants purchased.

⇒ y = 2x - 2 be equation 1

The number of skirts is four less than four times the number of pants purchased.

⇒ y = 4x - 4 be equation 2.

From equation 1

When x = 0; y = - 2 and x = 2; y = 2

From equation 2

When x = 0; y = - 4 and x = 1; y = 0

⇒ Graphical representation

☛ Check: NCERT Solutions for Class 10 Maths Chapter 3

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

Summary:

At point Q(1, 0) the lines intersect, therefore x = 1 and y = 0. Thus, Champa bought 1 pant and no skirt from the sale

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