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. 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.

Answer 1

Hi ,

Let the number of pants be 'x ' and

the number of skirts be ' y '.

Given ,

" The number of skirts are two less

than twice the number of pants

purchased "

y = 2x - 2 -----( 1 )

" The number of skirts is four less

than four times the number of pants

purchased "

y = 4x - 4-----( 2 )

From ( 1 ) and ( 2 ) ,

2x - 2 = 4x - 4

-2 + 4 = 4x - 2x

2 = 2x

2/2 = x

1 = x

x = 1

put x = 1 in equation ( 1 ) , we get

y = 2 × 1 - 2

y = 0

Therefore ,

The number of pants purchased =x = 1

The number of skirts purchased = y = 0

I hope this helps you.

: )

Answer 2

$<b><i>$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