Aussie Maths & Science Teachers: Save your time with SmarterEd
Aurora works part time in a donut shop.
On weekends, she earns 2.5 times as much per hour as she earns on weekdays.
One week, she works 14.5 hours on weekdays and 3 hours on the weekend.
Her pay for the week was $319.
How much does she earn in 1 hour on a weekday? (2 marks)
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\($12.50/\text{hour}\)
| \(\text{Pay hours}\) | \(= 14.5+3\times 2.5\) |
| \(=22\) |
| \(\text{Earnings for 1 hour}\) | \(=\dfrac{319}{22}\) |
| \(=$14.50\) |
\(\therefore \text{Aurora earns}\ $14.50\ \text{in 1 hour.}\)
Fleur works part time in a flower shop.
On weekends, she earns 2 times as much per hour as she earns on weekdays.
One week, she works 23 hours on weekdays and 1.5 hours on the weekend.
Her pay for the week was $351.
How much does she earn in 1 hour on a weekday? (2 marks)
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\($13.50/\text{hour}\)
| \(\text{Pay hours}\) | \(= 23+2\times 1.5\) |
| \(=26\) |
| \(\text{Earnings for 1 hour}\) | \(=\dfrac{351}{26}\) |
| \(=$13.50\) |
\(\therefore \text{Fleur earns}\ $13.50\ \text{in 1 hour.}\)
Fanny works part time at Guzman y Gomez.
On weekends, she earns 1.5 times as much per hour as she earns on weekdays.
One week, she works 12 hours on weekdays and 8 hours on the weekend.
Her pay for the week was $414.
How much does she earn in 1 hour on a weekday? (2 marks)
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\($17.25/\text{hour}\)
| \(\text{Pay hours}\) | \(= 12+ 8 \times 1.5\) |
| \(=24\) |
| \(\text{Earnings for 1 hour}\) | \(=\dfrac{414}{24}\) |
| \(=$17.25\) |
Clay has a casual job at the local movie cinema.
On weekends, he earns 1.5 times as much per hour as he earns on weekdays.
One week, he works 20 hours on weekdays and 6 hours on the weekend.
His pay for the week was $498.80.
How much does he earn in 1 hour on a weekday? (2 marks)
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\($17.20/\text{hour}\)
| \(\text{Pay hours}\) | \(= 20+6\times 1.5\) |
| \(=29\) |
| \(\text{Earnings for 1 hour}\) | \(=\dfrac{498.80}{29}\) |
| \(=$17.20\) |
\(\therefore \text{Clay earns}\ $17.20\ \text{in 1 hour.}\)
Betty works part time in a clothing shop.
On weekends, she earns 2 times as much per hour as she earns on weekdays.
One week, she works 15 hours on weekdays and 3 hours on the weekend.
Her pay for the week was $367.50.
How much does she earn in 1 hour on a weekday? (2 marks)
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\($17.50/\text{hour}\)
| \(\text{Pay hours}\) | \(= 15+3\times 2\) |
| \(=21\) |
| \(\text{Earnings for 1 hour}\) | \(=\dfrac{367.50}{21}\) |
| \(=$17.50\) |
\(\therefore \text{Betty earns}\ $17.50\ \text{in 1 hour.}\)
Brin works part time in a coffee shop.
On weekends, he earns 1.5 times as much per hour as he earns on weekdays.
One week, he works 9 hours on a weekday and 4 hours on the weekend.
His pay for the week was $270.
How much does he earn in 1 hour on a weekday? (2 marks)
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\($18/\text{hour}\)
| \(\text{Pay hours}\) | \(= 9+4\times 1.5\) |
| \(=15\) |
| \(\text{Earnings for 1 hour}\) | \(=\dfrac{270}{15}\) |
| \(=$18\) |
\(\therefore \text{Brin earns}\ $18\ \text{in 1 hour.}\)