MATHEMATICS

JAMB 2016 - Question 41

Mathematics 2016 JAMB Past Questions - Question 41: If N = P/2 (T1 -T2 / T1) find P when N = 12,T, = 27 and T2 = 24

If N = P/2 (T1 -T2 / T1) find P when N = 12,T, = 27 and T2 = 24
A:
B:
C:
D:
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Correct Answer

D

Explanation

To find the value of \(P\) when \(N = 12\), \(T_1 = 27\), and \(T_2 = 24\), we can use the given formula \(N = \frac{P}{2} \left(T_1 - \frac{T_2}{T_1}\right)\).Substitute the given values into the formula:\(12 = \frac{P}{2} \left(27 - \frac{24}{27}\right)\)First, simplify the expression inside the parentheses:\(27 - \frac{24}{27} = 27 - \frac{8}{9} = 27 - \frac{8}{9} = \frac{243}{9} - \frac{8}{9} = \frac{235}{9}\)Now, substitute this back into the equation:\(12 = \frac{P}{2} \times \frac{235}{9}\)To solve for \(P\), multiply both sides by 2 and then divide by \(\frac{235}{9}\):\(P = 12 \times 2 \times \frac{9}{235} = \frac{216}{235}\)Therefore, when \(N = 12\), \(T_1 = 27\), and \(T_2 = 24\), the value of \(P\) is \(\frac{216}{235}\).