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### Grade 6 - Mathematics7.12 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 10 books is 50 and the cost of 15 books is 75.Answer: Q 3: Cost of 1 book is 5, and the cost of 5 books is 25.Answer: Q 4: Cost of 15 books is 75, and the cost of 18 books is 90.Answer: Q 5: Cost of 5 books is 25, and the cost of 10 books is 50.Answer: Q 6: Distance travelled in 2 hours is 100 miles, and distance travelled in 4 hours is 200 miles.Answer: Q 7: Distance travelled in 2 hours is 100 miles and distance travelled in 5 hours is 250 miles.Answer: Q 8: The cost of 5 pens is 25 and the cost of 30 pens is 150.Answer: Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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