Question

The cost of a pencil is rupees 4 less than the cost of a pen. If the total cost of 6 pencils
and 8 pens is 116, find the cost of each.​

Answer 1

$\huge{\blue{\boxed{\mathfrak{\orange{Answer:-}}}}}$

Let the cost of each pen be x

So cost of each pencil will be x-4

Given:-

Cost of each pencil = x-4

Cost of each pen = x.

Cost of 6 pencils and 8 pens = 116.

Solution:-

ATQ,

Cost of 6 pencils+ Cost of 8 pens = 116

$\longrightarrow\tt{6(x-4)+8(x)=116}$

$\longrightarrow\tt{6x-24+8x=116}$

$\longrightarrow\tt{6x+8x=24+116}$

$\longrightarrow\tt{14x=140}$

$\longrightarrow\tt{x={\dfrac{\cancel{140}}{\cancel{14}}}}$

${\boxed{\tt{x=10}}}$

Now,

Cost price of each pencil= x-4

=10-4

=6

Cost price of each pen= x

x=10

$\sf\underline{Hence,\:the\:cost\:price\:of\:each\:pencil\:and}$$\sf\underline{\:pen\:is\:6\:and\:10\: respectively.}$

Hope it helps!

Answer 2

Step-by-step explanation:

Let the breadth be x. 10-4=6

6(x-4)+8x=116

6x-24+8x=116 So, pen's cost=10 and pencil's

14x-24=116 cost=6

14x=116+24

14x=140

x=140/40

x=10