A person spent $564 in buying pens and pencils if cost of each pen is $7 and each pencil is 3 and if the total number of things bought was 108, how many of each type did he buy?
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A person spent Rs564 in buying pens and pencils if cost of each pen is Rs.7 and each pencil is Rs.3 and if the total number of things bought was 108, how many of each type did he buy?
ANSWER
⇒ Let the number of pens be x.
⇒ Then, number of pencils =108−x
⇒ Cost of pens =7x
⇒ Cost of pencils =3(108−x)
According to the question,
7x+3(108−x)=564
7x+324−3x=564
4x+324=564
4x=564−324
4x=240
∴ x=
4
240
=60
⇒ Number of pencils =108−60=48
∴ The number of pens bought are 60 and pencil bought are 48.
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