Cost of a pen is 6 times that of a pencil. If
a boy buys 2 pens and 3
pencils ,and total amount the boy
pays is 60.What is the cost of
of a pen and a pencil .
(Non-anonymous question o)
(3 Points)
Answers
Answer:
the cost of a pen = 24
the cost of a pencil = 4
Step-by-step explanation:
Given :
- Cost of a pen is 6 times that of a pencil.
- A boy buys 2 pens and 3 pencils ,and total amount the boy pays is 60
To find :
the cost of a pen and a pencil
Solution :
Let
the cost of a pen be x
the cost of a pencil be y
Cost of a pen is 6 times that of a pencil.
x = 6y
a boy buys 2 pens and 3 pencils ,and total amount the boy pays is 60.
Cost of 2 pens = 2x
Cost of 3 pencils = 3y
2x + 3y = 60
Substitute x = 6y,
➙ 2(6y) + 3y = 60
➙ 12y + 3y = 60
➙ 15y = 60
➙ y = 60/15
➙ y = 4
➣ x = 6y
➣ x = 6(4)
➣ x = 24
Therefore,
the cost of a pen = 24
the cost of a pencil = 4
Verification :
- Cost of a pen is 6 times that of a pencil.
24 = 6 × 4
24 = 24
LHS = RHS
- A boy buys 2 pens and 3 pencils ,and total amount the boy pays is 60
2(24) + 3(4) = 60
48 + 12 = 60
60 = 60
LHS = RHS
Hence verified!
Answer:
Answer:
the cost of a pen = 24
the cost of a pencil = 4
Step-by-step explanation:
Given :
Cost of a pen is 6 times that of a pencil.
A boy buys 2 pens and 3 pencils ,and total amount the boy pays is 60
To find :
the cost of a pen and a pencil
Solution :
Let
the cost of a pen be x
the cost of a pencil be y
Cost of a pen is 6 times that of a pencil.
x = 6y
a boy buys 2 pens and 3 pencils ,and total amount the boy pays is 60.
Cost of 2 pens = 2x
Cost of 3 pencils = 3y
2x + 3y = 60
Substitute x = 6y,
➙ 2(6y) + 3y = 60
➙ 12y + 3y = 60
➙ 15y = 60
➙ y = 60/15
➙ y = 4
➣ x = 6y
➣ x = 6(4)
➣ x = 24
Therefore,
the cost of a pen = 24
the cost of a pencil = 4
Verification :
Cost of a pen is 6 times that of a pencil.
24 = 6 × 4
24 = 24
LHS = RHS
A boy buys 2 pens and 3 pencils ,and total amount the boy pays is 60
2(24) + 3(4) = 60
48 + 12 = 60
60 = 60
LHS = RHS
Hence verified!