Ratios and Proportions

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Ratio: It is a comparison between two different things.
Example: 23 or 2:3
Proportion:It is used to compare two ratios (equivalent fractions).
a: b :: c: d
Cross product is a x d = b x c
NOTE:
  • A ratio is just a number with no units. For instance, the ratio of $6 to $2 is just 3, not $3.
  • Ratios like 6 to 1 can be considered as 6.
  • Ratios can be determined between the quantities of same units. For example, the ratio of $6 to 2 miles can’t be determined
1)Are these statements true or false?
(a)35 = 1525
(b)79= 1418 , so 7 x14 = 9 x 18.
Answer: (a) True           (b) False
2) If P35 = 195 find P?
Answer: P x 5 = 19 x 35
P = 19 x 7
P = 133
3) 8 for $1.00 is better than 10 for $ 1.25
(a) True        (b) False        (c) Both have the same value         (d) can’t be determined
Answer: c

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