Financial Maths, STD2 EQ-Bank 37

Nigel's weekly wages are calculated using the partially completed spreadsheet below.

Calculate the total wages Nigel earned on Wednesday. (2 marks)

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Determine the time Nigel finished work on Saturday, given he earned $196.35 on the day. (2 marks)

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a. $\text{Total wages}=119.00+35.70=\$ 154.70$

b. $14:30$

Show Worked Solution

a. $\text{Wednesday wages:}$

$\text{Regular hours:} \ 5 \times 23.80=\$ 119.00$

$\text{Time-and-a-half:} \ 1 \times 1.5 \times 23.80=\$35.70$

$\text{Total wages}=119.00+35.70=\$ 154.70$

b. $\text{Let \(h=$ total hours worked:}\)

$\text{Since Saturday wages are time-and-a-half rate:}$

$h \times 1.5 \times 23.80$	$=196.35$
$h$	$=\dfrac{196.35}{1.5 \times 23.80}=5.5\ \text{hours}$

$\text{Nigel’s shift started at 09:00 and lasted 5.5 hours.}$

$\therefore\ \text{Nigel finished work at 14:30.}$

\(h \times 1.5 \times 23.80\)	\(=196.35\)
\(h\)	\(=\dfrac{196.35}{1.5 \times 23.80}=5.5\ \text{hours}\)