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### Grade 8 - Mathematics2.15 Ratio - II

 Part to part ratio: Example: Chris spends 8 hours of each day in school. What is the ratio of time Chris spends in school to the time he doesn't spend in school? Time spent in school = 8 There are 24 hours in a day Time not spent in school = 24 - 8 = 16 Ratio of time Chris spends in school to the time he doesn't spend in school = 8/16 = 1/2 Part to whole ratio: Example: Chris spends 8 hours of each day in school. What is the ratio of time Chris spends in school to the whole day? Time spent in school = 8 There are 24 hours in a day Ratio of time Chris spends in school to the whole day = 8/24 = 1/3 Compound Ratio: is the ratio of products of the corresponding terms of two or more simple ratios. Thus the ratio of 6 : 3 is 2 And the ratio of 12 : 4 is 3 The ratio compounded of these is 72 : 12 = 6 6/3 x 12/4 = 72/12 = 6 Here the compound ratio is obtained by multiplying together the two antecedents, and also the two consequent of the simple ratios. More Examples: Kim goes out shopping with \$300 in her wallet. When she is done she has \$50 left. What is the ratio of what Kim spent to what she didn't spend? 250:50 Answer 5:1 A box has 3 balls, all of which are either red or green. If the ratio of red to green balls is 1:2, how many red balls are in the box? 1/3 x 30 = 10 Ratio of boys to girls in a class is 3:4. If there are 35 students in the class, how many of them are girls? 4/7 x 35 = 20 girls There are 16 beverages in a cooler all of which are either sodas or juices. If the ratio of sodas to juices is 3:1, how many of the beverages are sodas? 3/4 x 16 = 12 sodas. Directions: Solve the following problems. Also write at least 5 examples of your own for part to whole, part to part ratio and compound ratio.
 Q 1: A music store orders total of 200 Cd's. If 50 of them are damaged, what is the ratio of damaged to undamaged Cd's?2:71:35:33:5 Q 2: Value of x such that 9:16 = 63:x is ______. (Hint: Solve x using cross multiplication) 12211289108 Q 3: A ratio is in its lowest term where the antecedent and consequent are respectively 28 and 16 is ______.3:75:67:44:7 Q 4: Compound ratio of 3:4 and 4:5 is _____.5:315:715:163:5 Q 5: There are 7 green socks, 5 blue socks and 3 white socks in a drawer. What is the ratio of white socks to all the socks in the drawer?5:71:52:52:3 Q 6: The ratio of 1 ft 6 in to 1 yard is ______.1:32:32:51:2 Q 7: If the compound ratio of 5:8 and 3:7 is 45:x find the value of x?16821216489 Q 8: A box contain only red marbles and white marbles. The ratio of red marbles to white marbles is 3:2. What is the ratio of red marbles to all the marbles in the box is ____.3:41:53:57:4 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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