Comparing ratios

Flavoursome

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Whina wonders which recipe has the strongest blueberry flavour.Here is her method for finding this out:

Activity OneWhina is experimenting with fruit drink mixtures. These two recipes use apple juice andblueberry juice:

Recipe 1

5 measures of apple juice and3 measures of blueberry

Recipe 2

3 measures of apple and2 measures of blueberry

1. What does the “spare” measure of apple juice tell Whina about the flavours of the twomixtures?

2. Why did Whina take 2 copies of the first recipe and 3 of the second? What wouldhappen if she used 3 copies of the 5:3 recipe to make a 15:9 mixture and then lookedat how a 3:2 recipe fitted into that?

i. Whina “clones” the 5:3 recipeand uses 2 copies to make a 10:6 mixture.

ii. She then clones the 3:2 recipe and finds that she can “fit” 3 copies into the 10:6 mixture.

iii. When she has done this, she is left with 1 “spare” measureof apple juice.

Proportional Reasoning: Book Two, Levels 3+–4

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Activity TwoHere are some other fruit drink recipes. Each fruit symbol stands for 1 measureof that juice. Use Whina’s method or your own to answer the questions:

1.

2.Which

recipe has thestrongest mango

flavour?

3.Which recipe

has the strongestpassionfruit

flavour?

Which recipehas the strongest

raspberryflavour?