smc-3148-20-Ratios and mixtures

Number, NAP-L4-CA24

An ancient coin is made up of gold and silver in the ratio 1:3.

The coin weighs 21.65 grams.

How many grams of silver are in the ancient coin?

`5.4125`	`7.217`	`14.433`	`16.2375`

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`16.2375`

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`text(Ratio)\ 1:3 -> 4\ text(parts)`

`text(1 part)`	`= 21.65/4`
	`= 5.4125`

`text(Silver weight)`	`= 3 xx 5.4125`
	`= 16.2375`

Number, NAP-A3-NC15

Milly is using this cupcake recipe.

How many cups of sugar are needed for 20 cupcakes?

`3 3/4`	`2`	`5`	`10`

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`3 3/4`

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`text(From the recipe:)`

`3/4\ text(cups) = 4\ text(cupcakes)`

`:.\ text(Sugar in 20 cupcakes)`	`=3/4 xx 5`
	`=15/4`
	`= 3 3/4\ text(cups)`

Number, NAP-J4-NC04

In a science experiment, Albert needs to add 60 millilitres of acid to every 2 litres of water.

If Albert only has 0.5 litres of water left, how many millilitres of acid should he add?

`0.15\ text(mL)`	`0.6\ text(mL)`	`15\ text(mL)`	`30\ text(mL)`	`120\ text(mL)`

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`15\ text(mL)`

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`text(Given)\ \ 60\ text(mL)`	`=> 2\ text(litres)`
`30\ text(mL)`	`=> 1\ text(litre)`
`15\ text(mL)`	`=> 0.5\ text(litre)`

Number, NAP-E3-NC18

Tony is making a fruit cake.

The recipe says he needs 3 cups of sultanas for every 5 cups of flour.

If 2.5 cups of flour are used, how many cups of sultanas are needed?

`0.5\ text(cups)`	`1.5\ text(cups)`	`2.5\ text(cups)`	`4.5\ text(cups)`

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`text(1.5 cups)`

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`text(Strategy 1:)`

`text(2.5 is half of 5 cups of flour, therefore half of)`

`text(3 cups of sultanas is required.)`

`=>\ text(1.5 cups of sultanas needed.)`

`text(Strategy 2:)`

`text(Let)\ \ n = text(cups of sultanas needed)`

`n/2.5`	`=3/5`
`:.n`	`=(3 xx 2.5)/5`
	`=1.5\ text(cups)`

Number, NAP-G3-CA31 SA

One litre of softdrink contains 90 grams of sugar.

How many millilitres of softdrink contain 4.5 grams of sugar?

millilitres

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`50`

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`text(Millilitres)`	`= 4.5/90 xx 1000\ text(mL)`
	`= 50\text(mL)`

Number, NAP-I3-CA21

A christmas pudding recipe uses 3 cups of sugar for every 4 cups of sultanas.

Select the correct combination of sugar and sultanas for this recipe.

	`1/3` cup of sugar, `1/4` cup of sultanas
	`1` cup of sugar, `1.5` cups of sultanas
	`1.5` cups of sugar, `2` cups of sultanas
	`4` cups of sugar, `5` cups of sultanas

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`text(1.5 cups of sugar, 2 cups of sultanas.)`

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`text(Ratio)`	`= 3:4`
	`=1.5:2`

`:.\ text(1.5 cups of sugar, 2 cups of sultanas is)`

`text(in the correct ratio.)`