Question

if the price of 3 pens,2 pemcils and 4 erasers is rs92and the price of 8 pencils and 16 erasers is rs68, then the price of 24 pens is

Answer 1

3 pens + 2 pencils + 4 erasers = Rs 92 ------------ [ 1 ]

8 pencils + 16 erasers = Rs 68               ------------ [ 2 ]

From equation [ 2 ]:

8 pencils + 16 erasers = Rs 68

(Divide by 4 through)

2 pencils + 4 erasers = Rs 17             ------------ [ 3 ]

Sub [ 3 ] into [ 1 ]:

3 pens + 17 = Rs 92

3 pens = 92 - 17

3 pens = 75

1 pen = 75 ÷ 3 = Rs 25

Find 24 pens:

1 pen = Rs 25

24 pens = 25 x 24 = Rs 600

Answer: Rs 600

Answer 2

Given:

3 pens + 2 pencils + 4 erasers = 92 rupees

8 pencils + 16 erasers = 68 rupees     

To find:

The price of 24 pens

Solution:

If 8 pencils + 16 erasers = 68 rupees,

Divide by 4.

Then,

2 pencils + 4 erasers = 17 rupees.     

Substituting this to find out the cost of 3 pens,

Cost of 3 pens + 17 = 92 rupees

Cost of 3 pens = 75 rupees

Cost of 1 pen = 25 rupees

To find the cost of 24 pens,

25 * 24

Cost of 24 pens = 600 rupees

Hence, the cost of 24 pens is 600 rupees.