For each of the following determine the price of one unit:
Three apples cost \$3.63
Twelve eggs cost \$3.84
Four pies cost \$21.00
Five hotdogs cost \$12.00
A carton of 10 eggs cost \$6.50. How much does 1 egg cost?
A 1.35\text{ kg} packet of mince costs \$15. How many grams of mince does each dollar buy?
A 0.6 litre bottle of milk costs \$0.84. How much does the milk cost per litre?
Lisa is trying to save money so she deposits \$3.20 into her bank account for every 8 coffees she purchases.
How much does Lisa deposit for each cup of coffee?
Calculate the price per unit for the following, if:
6\text{ g} costs \$0.84
43\text{ mL} costs \$3.44
13.2\text{ m} costs \$3.30
141\text{ g} costs \$15
274\text{ mL} costs \$7
26.2\text{ m} costs \$17
Calculate the amount per dollar to two decimal places if you can buy:
349\text{ g} for \$9
709\text{ mL} for \$5
27\text{ m} for \$15
Determine which item is the better value:
Item 1: Karen's Chips, 135\text{ g} for \$5
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Item 2: Kim's Crisps, 250\text{ g} for \$10
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Item 3: Pauline's Petrol, 25\text{ L} for \$40.00
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Item 4: Greg's Gas,60\text{ L} for \$84.00
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Item 5: Cameron's Cables, 18\text{ m} for \$63.00
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Item 6: Freddie's Fibre,13\text{ m} for \$48.10
Item 7: Warren's Wires,14\text{ m} for \$44.80
Iain feels like buying some ice-cream for himself and his friends. He considers the following offers:
A box of 8 Cornettos costs \$18.00
A box of 5 Magnums costs \$7.25
How much does each Cornetto cost?
How much does each Magnum cost?
Which type of ice-cream is cheaper individually?
A supermarket sells two different brands of eggs, Happy Hens and Sunny Side Up.
Happy Hens eggs cost \$6.00 for 12 eggs
Sunny Side Up eggs cost \$1.50 for 5 eggs
What is the cost in cents per egg from Happy Hens?
What is the cost in cents per egg from Sunny Side Up?
Which brand sells its eggs at a cheaper price?
Consider the following prices of mangos:
148 mangos for \$384.80 at shop A, or
252 mangos for \$453.60 at shop B
What is the cost of a single mango at shop A?
What is the cost of a single mango at shop B?
Hence, which is the best place to buy mangos, if you want the best price per item?
James needs 1\text{ kg} of blueberries to make a pie. He made a list of the prices of blueberries in four supermarkets close to his house:
Market Fresh: 1\text{ kg} for \$3
Garden Fresh: 500\text{ g} for \$2.25
Fruit World: 2\text{ kg} for \$5.50
My Market: 2\text{ kg} for \$6
Which shop was selling blueberries at the cheapest price per kilogram?
Isabelle is buying juice for her nephew's birthday party. She considers the following offers:
A 3.2\text{ L} bottle of apple juice costs \$13.76
A 2.1\text{ L} bottle of orange juice costs \$6.30
How much does apple juice cost per litre?
How much does orange juice cost per litre?
Which juice is the best buy?
Lisa has never made a potato salad before and wants to try making one. She has to choose between two types of potatoes at the store:
A 10.275\text{ kg} sack of sebago potatoes costs \$13.70
A 7.7\text{ kg} sack of russet potatoes costs \$14.00
How many kilograms of sebago potatoes does \$1 buy?
How many kilograms of russet potatoes does \$1 buy?
Which type of potato is the best buy?
Sally is deciding which of two different cereals she should buy:
Choco Pops costs \$0.84 for 200\text{ g}
Special Q costs \$0.36 for 100\text{ g}
What is the cost per kilogram of Choco Pops?
What is the cost per kilogram of Special Q?
Which of the cereal brands is cheaper to buy?
Consider the following scenarios:
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Han paid \$124.62 for 67\text{ L} of petrol in Humbleton.
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Amelia paid \$82.08 for 57\text{ L} of petrol in Dunkilderry.
Calculate the cost per litre of petrol in Humbleton.
Calculate the cost per litre of petrol in Dunkilderry.
In which suburb is petrol cheaper?
Han buys 30\text{ L} in Statesota, and this petrol station matched the best price between Humbleton and Dunkilderry. How much did he pay?
Fiona wants to buy some salmon from Whole-sail Seafood.
A 1.9\text{ kg} Atlantic salmon costs \$31.35.
A 2\text{ kg} Tasmanian salmon costs \$51.00.
Calculate the cost per kilogram of Atlantic salmon.
Calculate the cost per kilogram of Tasmanian salmon.
Which type of salmon is the best buy?
Consider the following scenarios:
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At Emporio, durian is sold for 76 cents per kilogram.
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At Greenery, each 5.5\text{ kg} durian is sold for \$2.97.
Calculate the price of 5.5\text{ kg} of durian purchased from Emporio.
How much do durians cost per kilogram at Greenery?
Which store is the best buy?
Consider the following scenarios:
A 200\text{ m}^2 apartment is sold for \$440\,000.
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An adjacent apartment that is 220\text{ m}^2 in size is sold for \$440\,000.
How much per square metre did the first apartment sell for?
How much per square metre did the second apartment sell for?
Which apartment is the best value per square metre?
Avril is running from John in a game of tag. Avril runs 30 \text{ m} every 5 \text{ sec} and John runs 21 \text{ m} every 3 \text{ sec}.
Calculate:
Avril's speed in metres per second.
John's speed in metres per second.
Who is faster? Avril or John?
2 shearers wanted to work out who was the faster shearer. Jenny sheared 144 sheep over 6 days, and Sean sheared 115 sheep in 5 days.
Calculate:
Jenny's rate in sheep per day.
Sean's rate in sheep per day.
If Jenny continued at this rate, how many sheep would she be able to shear in 25 days?
Who sheared sheep at a faster daily rate? Sean or Jenny?
Movie World theme park on the Gold Coast had 2325 visitors enter over the course of 7.5 hours on Wednesday. On Friday, it had 2050 visitors enter over a 5 hour period.
If there are more than 380 people entering the park per hour, then Movie World adds extra staff at the gate.
State the rate at which visitors were entering the park per hour on Wednesday.
State the rate at which visitors were entering the park per hour on Friday.
On which day were extra staff required?
Neville is deciding between 4 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?
Fuel consumption is usually given in \text{L/} 100 \text{ km}. Convert the fuel consumption rate for the Magnum to this rate.
A car travels 80 \text{ km} and consumes 6.96 \text{ L} of fuel.
Find the rate of fuel consumption of the car in \text{ L/km}. Round your answer to three decimal places.
State the rate of fuel consumption of the car in \text{L/} 100 \text{ km}.
Fiona's car can travel 12\,500 \text{ km} on 504 \text{ L} of fuel. Find the rate of the fuel consumption for her car in \text{L/} 100 \text{ km}.
Tom's car can travel 5000 \text{ km} on 1260 \text{ L} of fuel. Susana's car can travel 1600 \text{ km} on 192 \text{ L} of fuel.
Find the rate of fuel consumption of:
Tom's car in \text{L/} 100 \text{ km}
Susana's car in \text{L/} 100 \text{ km}
Who has the most fuel efficient car?
Christa and Ben each own a car, but they decide to carpool together to save money. They want to figure out whose car will be cheaper to run.
Christa's car has a rate of fuel consumption of 5 \text{ L/} 100 \text{ km}. Ben's car has a fuel economy of 35 \text{ km/L}.
Calculate the fuel economy of Christa's car in \text{km/L}. Round your answer to the nearest whole number.
Whose car should they take to save fuel?
John and Tracy each own a car, but they decide to carpool together to save money. They want to figure out whose car will be cheaper to run.
John's car has a rate of fuel consumption of 5.8 \text{ L/} 100 \text{ km}. Tracy's car has a fuel economy of 16 \text{ km/L}.
Calculate the fuel economy of John's car in \text{km/L}, to two decimal places.
Whose car should they take to save fuel?
A make of car is reported to have a rate of fuel consumption of 7.1 \text{ L/} 100 \text{ km}. Skye has this make of car and has calculated the rate of her fuel consumption to be 0.041 \text{ L/km}. Does Skye's car appear to be more or less efficient than reported?
Peter runs daily and usually covers his 19 \text{ km} in 75 \text{ min}. He also enters half marathon and full marathon events. The last time he ran the Sydney half marathon it took him 126 \text{ min} to complete the 21 \text{ km} event.
State his running rate during his daily run in \text{km/h}.
State his running rate during the half marathon in \text{km/h}.
In which event was he running faster on average? On his daily run or in the half marathon?