Comparing ratios
Flavoursome
6
You need A4 paper
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
7
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?