Question

total cost of 6 pens and 4 pencils is Rs 60 total cost of 4 pencils is Rs 40 find the cost of one pen and one pencil.​

Answer 1

Answer:

Cost of one pen is Rs. 3.33 and cost of one pencil is Rs. 10

Step-by-step explanation:

Let the cost of one pen be x and one pencil be y.

Total cost of 4 pencils = 40

∴ 4y = 40

∴ y = 40/4

∴ y = 10

Cost of one pencil = Rs. 10

Cost of 6 pens and 4 pencils = Rs. 60

6x + 4y = 60

∴ 6x + 40 = 60

∴ 6x = 60 - 40

∴ 6x = 20

∴ x = 20/6

∴ x = Rs. 3.33

Cost of one pen = Rs. 3.33

Answer 2

Let x be the cost of one pen

y be the cost of one pencil

6x+4y=Rs.60

Cost of 4 pencils =Rs.40

Cost of 1 pencil =40/4 =10

y =10

6x+4y=60

Substitute the value of y

6x+4×10=Rs.60

6x+40=60

6x=20

x=20/6=3.33

Cost of one pen=3.33

cost of one pencil=10