the price of a pen and a pencil is 18 rupees. The price of one pen and 4 pencils is 36 rupees. find the price of each
Answers
Answer:
the cost of one pen is ₹12, and the cost of a pencil is ₹6.
Step-by-step explanation:
solution;
Let the cost of one pen be ₹x and cost of a pencil be ₹y.
According to the question ;
The cost of pens and pencils is ₹18
⇒ x + y = 18 ... (i)
One pen cost and 4 pencil ₹36
x+4y=36
x=36-4y
Substituting the value of (ii), in (i) -
x+y=18
⇒36-4y+y =1 8
-3y=18-36
-3y=-18
y=6
⇒now, putting the value of y in equation (1)
x+y=18
x+6=18
x=18-6
x=12
Hence, the cost of one pen is ₹12, and the cost of a pencil is ₹6.
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Answer:
x=12,y=6
method
Let the price of a pen =x
Let the price of a pencil =y
x+y=18 (1)
x+4y=36 (2)
(1)-(2)gives (x+y=18)-(x+4y=36)=-3y=-18
=y=6
using the value of y in (1)
x+4*6=36
x+24=36
x=36-24
x=12
price of a pen =12
price of a pencil =6