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Number, NAP-H3-CA03v1

Sid is selling bike tyre tubes at a market stall.

He makes $54 from selling 6 bike tyre tubes.

All bike tyre tubes cost the same.

How much will Sid make if he sells 11 bike tyre tubes.

`$65` `$83` `$99` `$108`
 
 
 
 
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`$99`

Show Worked Solution
`text(Price of 1 tube)` `=54/6=$9`

 

`:.\ text(Price of 11 tubes)` `=11 xx 9`
  `=$99`

Filed Under: Financial Maths, Rates, Ratios and Scale Tagged With: Band 6, smc-3144-50-Other problems, smc-3148-60-Rates and cost

Number, NAP-L3-CA30 SA

Petrol costs 158.5 cents per litre.

How much does 12 litres of petrol cost?

$   
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`$19.02`

Show Worked Solution

`text(1 litre costs $1.585)`

`:.\ text(12 litres cost)` `= 12 xx 1.585`
  `= 19.02`

Filed Under: Rates, Ratios and Scale, Rates, Ratios and Scale Tagged With: Band 9, smc-3148-60-Rates and cost, smc-902-60-Rates and cost

Number, NAP-J3-CA22 SA

Damon buys 25 kilograms of salt for his pool for $33.75.

The salt can be purchased in 1 kilogram bags.

How much does 9 kilograms of salt cost?

$  
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`$12.15`

Show Worked Solution

`text(C)text(ost of 1 kilogram)`

`= 33.75/25`

`= $1.35`
 

`:.\ text(C)text(ost of 9 kilograms)`

`= 9 xx 1.35`

`= $12.15`

Filed Under: Rates, Ratios and Scale, Rates, Ratios and Scale Tagged With: Band 8, smc-3148-60-Rates and cost, smc-902-60-Rates and cost

Number, NAP-C3-CA32 SA

John's old tractor used 8.3 litres of fuel per 100km.

His new tractor uses 5.9 litres of fuel per 100 km.

John pays $1.35 per litre and drives 20,000 km each year.

How much money will John save on fuel each year with his new tractor?

$   
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`$648` 

Show Worked Solution

`text(Fuel cost of old tractor)`

`=8.3 xx $1.35 xx (20\ 000)/100`

`=8.3 xx $1.35 xx 200`

`=$2241`
 

`text(Fuel cost of new tractor)`

`=5.9 xx $1.35 xx (20\ 000)/100`

`=5.9 xx $1.35 xx 200`

`=$1593`

 

`:.\ text(John’s fuel savings each year)`

`=2241 – 1593`

`=$648`

Filed Under: Rates, Ratios and Scale, Rates, Ratios and Scale Tagged With: Band 10, smc-3148-60-Rates and cost, smc-902-60-Rates and cost

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