4. Alterations & mixtures

Question 1

How can alteration problems be solved?

Answer 1

With a mixture table:
Each row represents the original amount of an ingredient, its change, and the total
Each column adds down to a total

Question 2

How to solve more difficult alteration problems?

Answer 2

Using Algebra

Assigning variables to unknown quantities

Question 3

Mixture table for mixture problems (two mix)

Answer 3

• components mix A
• components mix B
  Total

Question 4

Solving mixture problems that are PUQs (no specific quantities)

Answer 4

1) with mixture table:
let the total quantity of one of the mixtures equal 100,
and let the total quantity of the other mixture equal x

Question 5

Solving mixture problems that are PUQs (no specific quantities)

Answer 5

1) with mixture table:
let the total quantity of one of the mixtures equal 100,
and let the total quantity of the other mixture equal x

2) RAF Shortcut
* Range
* Absolute (Difference)
* Fraction

3) Weighted Average Shortcut Contuned

Question 6

Mixtures - RAF Shortcut

Answer 6

1) Determine the range between the % of the individual mixtures or solutions
2) Get the absolute differences between the individual percentages and the percentage of the combined mixture
3) Express each difference as a fraction of the range

_ Bigger fraction: mixture whose % is closer to the % of the combined mixture
_Smaller fraction: refer to the individual mixture whose % is further from the % of the combined mixture