Question

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 are two less than twice the number of pantS purchased " . Find the number of skirts is four less than four times the number of pants purchased . Find how many pants and skirts Neha bought .

Answer 1

$<b><i>$Let the number of pants purchased by Neha be ‘x’ and no. of skirts purchased be ‘y’.

Twice the number of pants = 2x

From the given condition,

y = 2x – 2 (I)

i.e. number of skirts are less than 2 twice the number of pants.

y = 4x – 4 (II)

i.e. number of skirts are 4 less than four times the number of pants.

Subtracting eq. I from II, we get

2x = 2

⇒ x = 1

So number of pants purchased = 1 and number of skirts = 0