Question

the cost of 2 pens and 3 pencils is rupees 35 the cost of 3 pens and 2 pencils is rupees 40 find the cost of one pen and cost of one pencil​

Answer 1

Answer:

The cost of each pen is ₹ 10 and the cost of each pencil is ₹5.

Step-by-step explanation:

Let the cost of each pen be 'x' and each pencil be 'y'. Then,

2x + 3y = 35 ...(i)

3x + 2y = 40 ...(ii)

Multiply 3 to equation (i) and 2 to equation (ii),

6x + 9y = 105 ...(iii)

6x + 4y = 80  ...(iv)

Subtract (iv) from (iii),

6x - 6x + 9y - 4y = 105 - 80

0 + 5y = 25

y = 25 / 5

y = 5

Using y = 5 in (i)

2x + (3 * 5) = 35

2x + 15 = 35

2x = 35 - 15

2x = 20

x = 10

∴ The cost of each pen is ₹ 10 and the cost of each pencil is ₹5.

Answer 2

Answer:

5pencils and 10 pens

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