Ram purchased 3x pens and 2y pencils. Find the total cost of pens and pencils together at the rate of Rs 2y-4x each.
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Given:
Number of pens = 3x
Number of pencils = 2y
To Find:
The total cost of pen and pencil together at the rate of Rs.2y - 4x each.
Solution:
Sum of the number of pens and pencils = 3x + 2y.
now,
The total cost of pens and pencils together at the rate of Rs.2y-4x = (sum of the number of pens and pencils) × (2y - 4x)
= (3x + 2y)(2y - 4x)
= 6xy - 12x² + 4y² - 8xy.
= - 12x² + 4y² - 2xy.
which can be written as,
12x² - 4y² + 2xy.
Hence, the total cost of pens and pencils together at the rate of Rs.2y -4x each is Rs.12x² - 4y² + 2xy.
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