Arjun and his friend George went to a stationary shop. Arjun bought 3

1.	Arjun and his friend George went to a stationary shop. Arjun bought 3 pens and 2 pencils whereas George bought one pen and 4 pencils. If the price of each pen and pencil is ₹ x and ₹ y respectively, then find the total bill amount in x and y.
Answer» Given cost of each pen is ₹ x and cost of each pencil is ₹ y. Arjun bought 3 pens and 2 pencils. Cost of 3 pens = 3 × ₹ x = ₹ 3x Cost of 2 pencils = 2 × ₹y = ₹ 2y Amount paid by Arjun = 3x + 2y = ₹ (3x + 2v) George bought one pen and 4 pencils. Cost of 1 pen = 1 × ₹ x = ₹ x Cost of 4 pencils = 4 × ₹ y = ₹ 4y Amount paid by George = x + 4y = ₹(x + 4y) Total bill amount = Arjun amount + George amount = (3x + 2y) + (x + 4y) = 3x + 2y + x + 4y = 3x + x + 2y + 4y = (3 + 1)x + (2 +4)y ∴ Total bill amount = ₹ (4x + 6y)

Arjun and his friend George went to a stationary shop. Arjun bought 3 pens and 2 pencils whereas George bought one pen and 4 pencils. If the price of each pen and pencil is ₹ x and ₹ y respectively, then find the total bill amount in x and y.

Answer»

Given cost of each pen is ₹ x and cost of each pencil is ₹ y.

Arjun bought 3 pens and 2 pencils.

Cost of 3 pens = 3 × ₹ x = ₹ 3x

Cost of 2 pencils = 2 × ₹y = ₹ 2y

Amount paid by Arjun = 3x + 2y = ₹ (3x + 2v)

George bought one pen and 4 pencils.

Cost of 1 pen = 1 × ₹ x = ₹ x

Cost of 4 pencils = 4 × ₹ y = ₹ 4y

Amount paid by George = x + 4y = ₹(x + 4y)

Total bill amount = Arjun amount + George amount

= (3x + 2y) + (x + 4y) =

3x + 2y + x + 4y

= 3x + x + 2y + 4y

= (3 + 1)x + (2 +4)y

∴ Total bill amount = ₹ (4x + 6y)