Question

33 Pencils and 47 Erasers together cost Rs. 299 while 47 Pencils and 33
Erasers cost Rs. 341. Find the cost of a Pencil and that of an Eraser.
1) Rs. 4, Rs. 2 2) Rs. 6.5, Rs. 3.5 3)Rs. 5.5, Rs. 2.5 4) Rs. 9, Rs. 3
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Answer 1

Answer:

here your answer......

option:3

Step-by-step explanation:

here

P=pencil

E=Eraser

According to question

33P+47E=299

33P+47E-299=0...............(1)

and

47P+33E=341

47P+33E-341=0.................(2)

now multiply equation (1)×47

equation (2)×33 and substract (1)-(2)

we get

47(33P+47E-299)-[33(47P+33E-341)]=0

1551P+2209E-14053

-1551P-1089E+11253=0

1120E-2800=0

1120E=2800

E=2800/1120=2.5

substitute E value in equation (1)

33P+47×2.5-299=0

33P+117.5-299=0

33P-181.5=0

33P=181.5

P=181.5/33

P=5.5

therefore the cost price of

pencil=5.5

and

Eraser=2.5.