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CanadaON
Grade 8

10.04 Unit costs

Worksheet
Cost rates
1

A 1.5 kg crab costs \$24. What is the cost per kilogram?

2

Calculate the price per unit if:

a

6 g costs \$0.84

b

43 mL costs \$3.44

c

13.2 m costs \$3.30

d

141 g costs \$15

e

274 mL costs \$7

f

26.2 m costs \$17

3

Calculate the amount per dollar to two decimal places, if you can buy:

a

349 g for \$9

b

709 mL for \$5

c

27 m for \$15

d

50 g for \$6.95

e

20 mL for \$5.25

f

140 m for \$2.18

Unit costs
4

Consider the following sales:

  • 6 pencil cases for \$24 at Big Z.
  • 9 pencil cases for \$54 at X-mart.
a

What is the cost of a single pencil case at Big Z?

b

What is the cost of a single pencil case at X-mart?

c

Hence which is the best place to buy pencil cases, if you want the best price per item?

5

Consider the following prices of mangos:

  • 148 mangos for \$384.80 at shop A, or

  • 252 mangos for \$453.60 at shop B

a

What is the cost of a single mango at shop A?

b

What is the cost of a single mango at shop B?

c

Hence, which is the best place to buy mangos, if you want the best price per item?

6

There are three brands of bottled water in the market. Their prices are shown below:

  • Brand A: 2 L for \$3

  • Brand B: 7 L for \$11

  • Brand C: 15 L for \$9

Determine which brand is:

a

The cheapest.

b

The most expensive.

7

Determine which shop has the cheaper price of the following:

a
  • Bill's Brilliant Bars: 152 grams for \$19, or

  • Charlie's Cheery Chocs: 90 grams for \$9

b
  • Frankie's Fabric: 16 metres for \$208, or

  • Chloe's Cloth: 18 metres for \$216, or

  • Marge's Material: 11 metres for \$121

c
  • Honest Anne's Soda: 600 mL for \$2.10, or

  • Fair Freddy's Pop: 2 L for \$9.00

8

A cafe sells coffees for \$4 each and offers one free coffee for every 6 coffees a customer buys.

a

Calculate the average price of one coffee for a customer who pays for 6 coffees.

b

How much more would a customer wanting to purchase 7 coffees have to pay if the special offer did not exist?

9

A direct factory outlet sells 40 L of detergent for \$694 to the public. Meanwhile, the local hardware store sells 8 L of the same detergent for \$92.

Calculate the discount in dollars per litre when buying from the hardware store, rather than the direct factory outlet.

10

Hairmart a wholesale hairdressing warehouse, sells 10 L bottles of shampoo for \$20. The same shampoo can be bought from retail stores at \$2 for 250 mL.

How much more expensive in dollars per litre is the shampoo when bought from the retail store?

11

James paid \$89 for 61 L of petrol in North Haverbrook. Valentina paid \$76 for 45 L of petrol in Dunkilderry.

a

How much does petrol cost per litre in North Haverbrook?

b

How much does petrol cost per litre in Dunkilderry?

c

In which suburb is petrol cheaper?

d

James buys 28 L of petrol in Oklachusetts. How much will this cost if the petrol price matches the best price between North Haverbrook and Dunkilderry?

12

At a grower’s market, durians are sold at Emporio for 56 cents per kilogram. At Greenery, each 4.5 kg durian is sold for \$3.50.

a

Calculate the price of 4.5 kg of durian from Emporio.

b

Which store is the cheapest?

c

What is the most that the owner of FroteYote can charge for his 4.5 kg durians if he wants to beat the best buy by 5\%?

13

Consider the sale listings of two properties, the first property is a 350\text{ m}^{2} property priced at \$650\,000 and the second is a 459\text{ m}^{2} property listed for \$750\,000.

a

Calculate the price in dollars per square metre of the first property.

b

Calculate the price in dollars per square metre of the second property.

c

Based on the price per square metre, which listing appears to be a better buy?

14

The price of a 200 square metre apartment originally selling for \$662\,000 is reduced by 2\%. The price of an adjacent apartment 240 square metres in size is \$675\,000.

a

How much is the first apartment selling for per square metre after it has been discounted?

b

What is the second apartment selling for per square metre?

c

Which apartment is better value in terms of price per square metre?

d

What is the difference between the two apartments in terms of price per square metre?

15

A 500 g bag of almonds usually costs \$12.95 and a 200 g bag of almonds costs \$8.95. Today the 500 g bag is for sale at 10\% off.

a

Find the price per gram of the 500 g bag of almonds after the discount in cents. Round your answer to two decimal places.

b

Find the price per gram of the 200 g bag of almonds in cents. Round your answer to two decimal places.

c

Which bag of almonds is better value in terms of price per gram?

d

What is the difference between the two bags of almonds in terms of cents per gram?

16

2 L of milk, with an expiry date a week from today, costs \$3.00. A large 4 L bottle of the same brand, which expires in two days, is discounted to \$3.40.

a

What is the unit cost of the 2 L bottle?

b

What is the unit cost of the 4 L bottle?

c

Which is the better buy?

d

If a family usually take a week to get through 2 L of milk, is it worth spending more money to get the cheaper unit cost for the family? Explain your answer.

17

Carol needs 2 planks of wood to complete a cabinet she is going to sell. The planks of wood are sold in packs of 3 for \$40 per pack or in a pack of 10 for \$100 per pack.

a

What is the unit cost for the pack of 3?

b

What is the unit cost for the pack of 10?

c

Based on the unit costs, which is the better buy?

d

In Carol's circumstance, is it worth spending more money to get the cheaper unit cost? Explain your answer.

18

Explain when buying in bulk might not actually be worthwhile.

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Outcomes

8.F1.5

Compare various ways for consumers to get more value for their money when spending, including taking advantage of sales and customer loyalty and incentive programs, and determine the best choice for different scenarios.

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