smc-1104-50-Best Buys

v1 Measurement, STD2 M7 SM-Bank 15 MC

A brand of cereal is sold in two different boxes.

What is the difference in the price per kilogram of these two boxes?

$0.80
$1.20
$1.50
$2.40

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`B`

Show Worked Solution

`text(Convert to price per kg:)`

`text(Box 1)`

`400\ text(g) = $3.60`

`1\ text(kg) = 3.60\ xx\ 2.5 = $9.00`

`text(Box 2)`

`1.5\ text(kg) = $15.30`

`1\ text(kg) = 15.30\ -:\ 1.5 = $10.20`

`:.\ \text(Difference per kg)`

`= 10.20 – 9.00`

`= $1.20`

`=> B`

Measurement, STD1 M4 2021 HSC 11

Chocolate of a particular brand can be bought in three different sizes.

Option 1: 100 grams for $1.50

Option 2: 300 grams for $4.20

Option 3: 500 grams for $7.25

Which option gives the lowest price per 100 grams? Justify your answer with calculations. (2 marks)

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`text(Option 2 is the cheapest.)`

Show Worked Solution

`text(Compare prices per 100 grams:)`

`text(Option 1) = $1.50`

`text(Option 2) = 4.20 ÷ 3 = $1.40`

`text(Option 3) = 7.25 ÷ 5 = $1.45`

`:.\ text(Option 2 is the cheapest.)`

Measurement, STD2 M7 SM-Bank 16

A refreshment stand at the market sells its iced tea in four different sizes.

Showing calculations, find which serving size offers the cheapest iced tea. (2 marks)

--- 4 WORK AREA LINES (style=lined) ---

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`text(375 mL)`

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`text(Consider the price per mL of each option)`

`text(150 mL :)\ \ 1.50/150 = 1\ text(cent/mL)`

`text(750 mL :)\ \ 6.10/750 = 0.81\ text(cent/mL)`

`text(375 mL :)\ \ 3.00/375 = 0.8\ text(cent/mL)`

`text(200 mL :)\ \ 1.80/200 = 0.9\ text(cent/mL)`

`:.\ text(375 mL serving size offers the cheapest price)`

Measurement, STD2 M7 SM-Bank 15 MC

A brand of pasta is sold in two different packets.

What is the difference in the price per kilogram of these two packets?

$1.50
$3.00
$3.60
$7.20

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`B`

Show Worked Solution

`text(Convert to price per kg:)`

`text(Packet 1)`

`200\ text(g) = $1.80`

`1\ text(kg) = 5 xx 1.80 = $9`

`text(Packet 2)`

`750\ text(g) = $9`

`100\ text(g) = 9.00 ÷ 7.5 = $1.20`

`1\ text(kg) = 1.20 xx 10 = $12`

`:.\ text(Difference per kg)`

`= 12 – 9`

`= $3.00`

`=> B`

Measurement, STD2 M7 SM-Bank 14

Reece looks at the price of four sunscreens.

Which sunscreen is the cheapest per litre? Show your calculations. (2 marks)

--- 4 WORK AREA LINES (style=lined) ---

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`text(Sport sunscreen)`

Show Worked Solution

`text(Sun)\ =1090/1200 = 0.91\ text(c/mL)`

STRATEGY: Finding the cost per mL is much more efficient in answering this question than finding the cost per litre.

`text(Sport)\ =540/600 = 0.9\ text(c/mL)`

`text(Block)\ =475/500 = 0.95\ text(c/mL)`

`text(Wet)\ =740/750 = 0.99\ text(c/mL)`

`:.\ text(Sport sunscreen is the cheapest.)`

Measurement, STD1 M4 2019 HSC 3 MC

Sugar is sold in four different sized packets.

Which is the best buy?

100 g for $0.40
500 g for $1.65
1 kg for $3.50
2 kg for $6.90

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`B`

Show Worked Solution

`text(Price per kilogram:)`

`100\ text(g) -> 10 xx 0.40 = $4.00`

`500\ text(g) -> 2 xx 1.65 = $3.30`

`1\ text(kg) -> $3.50`

`2\ text(kg) -> 6.90 ÷ 2 = $3.45`

`=> B`