Question

Two pencil and one eraser cost Rs. 35 and
3 pencil and four erasers cost Rs. 65. Find
the cost of pencil and eraser separately.

Answer 1

Answer:

the correct answer is 100

Step-by-step explanation:

the cost of three pencil and one eraser = 35

the cost of two pencil and four eraser = 65

35+ 65 = 100

the cost of pencils and erasers = 100

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Answer 2

15 and 5

Step-by-step explanation:

let the cost of 1 pencil -₹x

let the cost of 1 eraser -₹y

according to first condition

2x+y=35. ---(1)

according to the second condition

3x+4y=65. ---(2)

to subtract equation (1)and(2)

2x+y=35-----(1). *3

3x+4y=65----(2)*2

___________

6x+3y=105---(3)

6x+8y=130---(4)

___(-)__(-)__(-)_____

5y =25

y=25/5

y=5

now subtract y=5 to equation (1)

2x+y=35

2x+5=35

2x=35-5

2x=30

x=30/2

x=15

so, the cost of 1 pencil =15

the cost of 1 eraser=5