Question

The cost of 1 pen and 1 pencil is Rs 17 and cost of 3 pens and 2 pencils is Rs 46. Then cost of 1 pencil and 1 pen are ? ​

Answer 1

Answer:

the correct answer is

one cost of 1 pencil is 4.5 Rs.

Step-by-step explanation:

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Answer 2

Given

• The cost of 1 pen and 1 pencil is Rs 17 and cost of 3 pens and 2 pencils is Rs 46. Then cost of 1 pencil and 1 pen are ?

Solution

Assumption

Cost of a pen be Rs p

Also,

Pencil be Rs t

So,

5p + 6t = 9….(1)

3p + 2t = 5 ....(2)

Here,

Multiply (1) by 2 also (2) by 6 we get,

10p + 12t = 18 ……..…(3)

18p + 12t = 30.…(4)

Here,

Subtract (3) by (4),

8p = 12

p = 12/8

p = 3/2

Putting value of p in (1),

5p + 6t = 9

5 × 3/2 + 6t = 9

15/2 + 6t = 9

6t = 9 - 15/2

6t = [18 - 15]/2

6t = 3/2

t = 3/2 × 1/6

t = 1/4

Therefore,

• Cost of one pen is Rs. 3/2
• Cost of one pencil is Rs. 1/4