smc-902-20-Ratios and mixtures

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)`

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)`

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)`

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.)`