There are three brands of cordial in the market:
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Liquid Gold: 3\text{ L} for \$4
Buttersweet: 6\text{ L} for \$14
HyperHydro: 11\text{ L} for \$8
By calculating either the cost per litre or amount per dollar for each brand, answer the following questions:
Which is the best buy?
Which is the most expensive?
By calculating either the cost per unit or amount per dollar for each item, determine which is the better value.
Charlie's Cheery Chocs 88 grams for \$8 or Bill's Brilliant Bars 99 grams for \$11.
Marge's Material 18 metres for \$108, Frankie's Fabric 11 metres for \$99, or Chloe's Cloth 17 metres for \$170.
Honest Anne's Soda 750\text{ mL} for \$2 or Fair Freddy's Pop 3\text{ L} for \$8.
Two shearers wanted to work out who was the fastest.
Jenny sheared 147 sheep over 7 days, and Vincent sheared 150 sheep in 6 days.
At what rate per day did Jenny shear sheep?
If Jenny continued at this rate, how many sheep would she be able to shear in 36 days?
At what rate per day did Vincent shear sheep?
Who sheared sheep at a faster daily rate?
David is attending to a patient on the way to the emergency department. In the ambulance, he takes a quick measurement of the patient's heart rate, and finds it to be 28 beats per 20 seconds. An hour later, in the hospital, he takes the measurement again and finds the patient's heart rate to be 135 beats per 90 seconds.
Calculate the heart rate in beats per minute (bpm) for the first recording.
Calculate the heart rate in beats per minute (bpm) for the second recording.
Has the patient's heart rate increased or decreased?
A theme park on the Gold Coast had 1240 people coming through the gate over 4 hours on Tuesday. On Thursday, it had 1365 people coming through the gate over 6.5 hours. If there are more than 220 people entering the park per hour, then the theme parks adds extra staff at the gate.
On Tuesday, at what rate were visitors entering the park each hour?
On Thursday, at what rate were visitors entering the park each hour?
On which day(s) were extra staff required?
Peter runs daily and usually covers his 19 \text{ km} in 75 minutes.
He also enters half marathon and full marathon events. The last time he ran the Sydney half marathon, an event 21 \text{ km} in length, it took him 126 minutes.
What is his running rate during his daily run?
What was his running rate during the half marathon?
In which event was he running faster on average? On his daily run or in the half marathon?
Neville is deciding between four cars to buy. He wants to buy the most fuel efficient one.
Complete the table.
| \text{Car} | \text{Litres used} | \text{Distance travelled (km)} | \text{L/km} |
| \text{Magnum} | 13.405 | 38.3 | ⬚ |
| \text{Falcador} | 20.71 | 54.5 | ⬚ |
| \text{Canyonero} | 6.336 | 19.2 | ⬚ |
| \text{Civil} | 2.754 | 8.1 | ⬚ |
Which car is the most fuel efficient?
Sam paid \$80 for 58\text{ L} of petrol in Humbleton. Maria paid \$92 for 71\text{ L} of petrol in Cranford.
How much does petrol cost per litre in Humbleton?
How much does petrol cost per litre in Cranford?
In which suburb is petrol cheaper?
Sam pumps 21\text{ L} in Oklachusetts. Using your answers from parts (a) and (b), how much will this cost if the petrol price matches the best price between Humbleton and Cranford?
Arrange these trips in order of lowest average speed to highest average speed.
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Trip 1: Driving 80\text{ km} in 2 hours
Trip 2: Cycling 120\text{ km} in 4 hours
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Trip 3: A taxi trip that took 15 minutes to travel 11\text{ km}
At a grower’s market, pumpkins are sold at Emporio for 55 cents per kilogram.
At Greenery, each 4.5\text{ kg} pumpkin is sold for \$4.00.
Calculate the price of 4.5\text{ kg} of pumpkin from Emporio. Round your answer correct to two decimal places.
Which store is the best buy for pumpkin?
What is the most that the owner of FroteYote can charge for his 4.5\text{ kg} pumpkins if he wants to beat the best buy by 9\%? Round your answer to two decimal places.
A direct factory outlet sells 73\text{ L} of paint for \$567 to the public. Meanwhile, the local hardware store sells 10\text{ L} of the same paint for \$54.
Calculate the discount in dollars per litre when buying from the hardware store rather than the direct factory outlet.
The price of a 150 square metre apartment originally selling for \$466\,000 is reduced by 3\%.
The price of an adjacent apartment 300 square metres in size is \$478\,000.
How much is the first apartment selling for per square metre after it has been discounted? Round your answer correct to two decimal places.
What is the second apartment selling for per square metre? Round your answer correct to two decimal places.
Which apartment is better value in terms of price per square metre?
What is the difference between the two apartments in terms of price per square metre?