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Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation
7.9 Proportion - I

  • Proprortions are equal ratios.
  • If two ratios are equal, then four numbers forming the two ratios in order are said to be in proportion.

That is, if a:b = c:d, then a,b,c and d are said to be in proportion.

Proportion a:b = c:d is also denoted by a/b = c/d or a:b :: c:d and is read as
"a is to b as c is to d".

Example: Distance travelled in 4 hours is 200 miles, and distance travelled in 7 hours is 350 miles.
Ratio of times = 4:7
Ratio of distance travelled = 200:350, simplify this we get 4:7.
Therefore, Ratio of times = Ratio of distances
That is, 4:7 = 200:350

Directions: Express the given terms in the form of proportion as shown in the above example. Also write at least ten examples of your own.
Q 1: Distance travelled in 5 hours is 250 miles and distance travelled in 6 hours is 300 miles.
Answer:

Q 2: Cost of 1 book is 5, and the cost of 5 books is 25.
Answer:

Q 3: Distance travelled in 2 hours is 100 miles and distance travelled in 5 hours is 250 miles.
Answer:

Q 4: Cost of 15 books is 75, and the cost of 18 books is 90.
Answer:

Q 5: Distance travelled in 2 hours is 100 miles, and distance travelled in 4 hours is 200 miles.
Answer:

Q 6: The cost of 10 bicycles is 100 and the cost of 30 bicycles is 300.
Answer:

Q 7: Distance travelled in 4 hours is 200 miles and distance travelled in 6 hours is 300 miles.
Answer:

Q 8: Cost of 10 books is 50 and the cost of 15 books is 75.
Answer:

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 Question 10: This question is available to subscribers only!


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