Question

a mobile vendor has 22 items some which are pencils and others are ball pens.On a particular day, he is able to sell the pencil and ball pens. Pencils are sold for $15 each and ball pens are sold at $20 each. If the total sale amount with the vendor is $380,how many pencils did he sell

Answer 1

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Answer 2

The vendor sold 12 pencils

Step-by-step explanation:

Let the no. of pencils be x and the number of ball pens be y

Then

$x+y=22$  ................ (1)

Cost of one pencil = $15

Cost of one ball pen = $20

According to the question

$15x+20y=380$

or, $3x+4y=76$  ............ (2)

Multiplying eq (1) by 4 and subtracting eq (2) from it

$(4x+4y)-(3x+4y)=88-76$

$\implies x=12$

Therefore, the no. of pencils he sold = 12

Hope this answer is helpful.

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