Question

# A ball pen costs Rs 3.50 more than pencil. Adding 3 ball pens and 2 pencils sum up to Rs 13. Taking y and z as costs of ball pen and pencil respectively. Write down 2 simultaneous equations in terms of y and z which satisfy the above statement. Find out the values of y and z.

Hint:

### Taking y and z as costs of ball pen and pencil respectively

A ball pen costs Rs 3.50 more than pencil (i.e y = z + 3.50)

Adding 3 ball pens and 2 pencils sum up to Rs 13.(i.e 3y + 2z = 13)

## The correct answer is: 4.00 rs

### Ans :- cost ball pen = 4.00 rs and cost of pencil = 0.50 rs

Explanation :-

Taking y and z as costs of ball pen and pencil respectively

L.e Cost of ball pen = y and cost of pencil = z

Step 1:- form the system of linear equations using the given condition

A ball pen costs Rs 3.50 more than pencil

so, y = z + 3.50 —- Eq1

Adding 3 ball pens and 2 pencils sum up to Rs 13.

So, 3y + 2z = 13 —- Eq2

We got Eq1 and Eq2 are simultaneous equations .

Step 2:- substitute the Eq1 in Eq2.

∴ z = 0.50

Step 3:-substitute the value of z in Eq1 to get the value of y

∴ y = 4.00

∴ z = 0.50 rs is the cost of pencil and y = 4.00 rs is the cost of ball pen.

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