**A student bought 3 notebooks and 1 pen for N35. After misplacing these items, sh...**

### Question

A student bought 3 notebooks and 1 pen for N35. After misplacing these items, she again bought 2 notebooks and 2 pens, all of the same type for

N30. What is the cost of a pen?

### Options

A) N5.00

B) N7.50

C) N10.00

D) N15.00

The correct answer is A.

### Explanation:

Represent notebook with x

Represent pen with y

∴ 3x+y=35 ---- (i)

2x+2y=30 ---- (ii)

Multiply eqn (i) by 2 and eqn (ii) by 1

6x+2y=70 ---- (iii)

2x+2y=30 ---- (iv)

Subtract eqn (iv) from eqn (iii)

4x = 40

X = 10

Substitute x = 10 in eqn (i)

3x+y=35

3(10)+y=35

Y = 5

∴ The cost of pen is N5.00

Represent pen with y

∴ 3x+y=35 ---- (i)

2x+2y=30 ---- (ii)

Multiply eqn (i) by 2 and eqn (ii) by 1

6x+2y=70 ---- (iii)

2x+2y=30 ---- (iv)

Subtract eqn (iv) from eqn (iii)

4x = 40

X = 10

Substitute x = 10 in eqn (i)

3x+y=35

3(10)+y=35

Y = 5

∴ The cost of pen is N5.00

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Represent notebook with x

Represent pen with y

∴ 3x+y=35 ---- (i)

2x+2y=30 ---- (ii)

Multiply eqn (i) by 2 and eqn (ii) by 1

6x+2y=70 ---- (iii)

2x+2y=30 ---- (iv)

Subtract eqn (iv) from eqn (iii)

4x = 40

X = 10

Substitute x = 10 in eqn (i)

3x+y=35

3(10)+y=35

Y = 5

∴ The cost of pen is N5.00