Ratios

Question 1

Part-part or part-whole relationships

Answer 1

Notice if there are only two parts in the whole, I can derive a part-whole ratio from a part-part ratio and vice versa. For example:

If the ratio of men to women in the office is 3:4, then the “total” is 7, so there are 4 women for every 7 employees.

Ratios also tell indicate what the multiple of a unit will be.

Question 2

Concrete values

Answer 2

Values are actual amounts (# of tickets sold, litres of water, etc.)

Question 3

Relative values

Answer 3

Values relate two quantities using fractions, decimals, percents, or ratios (twice as many, 60% less, ratio of 2:3, etc.)

When a question asks for a relative value, not a concrete one, I don’t need as much information in order to solve.