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JAMB Mathematics 2016 Paper

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Question : 39

Total: 50

If N =

\frac{p}{2}

\frac{T_1 - T_2}{T_1}

). Find P when N = 12, T₁ = 27 and T₂ = 24.

48
108
54
216

Solution:

Concept:

Substitute the given values into the formula and solve for

P

.

Explanation:

Start with the equation:

N = \frac{P}{2}\left(\frac{T_1 - T_2}{T_1}\right)

Substitute

N = 12

,

T_1 = 27

, and

T_2 = 24

:

12 = \frac{P}{2}\left(\frac{27 - 24}{27}\right)

Simplify the bracket:

12 = \frac{P}{2} \times \frac{3}{27}

Reduce

\frac{3}{27}

to

\frac{1}{9}

:

12 = \frac{P}{2} \times \frac{1}{9}

Multiply both sides by

18

:

P = 12 \times 18 = 216

Thus, the value of

P

is

216

.

Answer:

D.

216

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