WAEC Past Questions and Answers - Page 2258

Let Mr Manu be x years old and Adu be y years old.

But Mr Manu is four times as old as Adu then, x = 4y.

7 years ago, the sum of their ages was 76.

( x - 7) + ( y - 7) = 76

x + y - 14 = 76 

x + y = 76 + 14 = 90

But x = 4y 

Therefore, 4y + y = 90

5y = 90 

y = \(\frac{90}{5}\)

y = 18

Therefore Adu is 18 years old.

Using the venn diagram above

μ = 30
n(W) = 15
n(M) = 13
\(n(W ∪ M)^1 = 6\)
Let x = number of students that study both woodwork and metalwork
i.e. n(W ∩ M) = x
Number of students that study only woodwork,\(n(W ∩ M^1)\) = \(15 - x\)
Number of students that study only metalwork, \(n(W^1 ∩ M)\) = \(13 - x \)
Bringing all together,
\(n(W ∩ M^1)\) +\( n(W^1 ∩ M)\) + \(n(W ∩ M)\) + \(n(W ∪ M)^1\) = \(μ\)
∴ (15 - x) + (13 - x) + x + 6 = 30
⇒ 34 - x = 30
⇒ 34 - 30 = x
∴ x = 4
\(n(W ∩ M^1)\) = \(15 - 4 = 11\)
∴ The number of students that study woodwork but not metalwork is 11.

\(\theta = 115° , radius = 3.4cm^2\)

Area of a sector = \(\frac{\theta}{360} \times \pi r^2\)

= \(\frac{115}{360} \times \frac{22}{7} \times 3.4\times 3.4\)

= \(\frac{29246.4}{2520}\)

= \(11.6cm^2\)

Credit note is also known as credit memo is a commercial document issued by a seller to a buyer. Credit notes act a s a source document for the sales return journal

A meeting is accurate when it's clearly present the proceedings and outcomes of the meeting