Question

sonali purchase some pants and skirts the no. of skirt is less than 8 times the number of pants purchased also the number of skirts is four less than five times than number of pants purchased

Answer 1

SOLUTION

GIVEN

Sonali purchased some pants and skirts. The number of skirts is 7 less than eight times the number of pants purchased. Also, the number of skirts is four less than five times the number of pants purchased.

TO DETERMINE

The number of pants and skirts purchased

EVALUATION

Let x be the number of pant purchased

Now it is given that the number of skirts is 7 less than eight times the number of pants purchased.

Then by the first condition number of skirts purchased

= 8x - 7

Again it is also stated that the number of skirts is four less than five times the number of pants purchased.

So by the second condition number of skirts purchased

= 5x - 4

So From above two conditions

8x - 7 = 5x - 4

$\implies \sf{3x = 3}$

$\implies \sf{x = 1}$

Hence

The number of pants purchased = 1

The number of skirts purchased = 8 - 7 = 1

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