Problem Solving Ratio And Proportion

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(ii) (I) can also be written as 12 × 20 = 8 × 30 Hence, 12 : 8 = 30 : 20 ………..

(iii) Last (I) can also be written as 12 : 30 = 8 : 20 ………..

The first, second and third terms of the proportion are 42, 36, 35. Solution: We note that 8 × 30 = 240 and 12 × 20 = 240 Thus, 8 × 30 = 12 × 20 ………..(I) Hence, 8 : 12 = 20 : 30 ………..

(i) We also note that, 8 × 30 = 20 × 12 Hence, 8 : 20 = 12 : 30 ………..

If the student attended 15 days, how many days did the summer course run?

Note that this time the missing value is in the denominator, since the denominator in the first ratio is days attended to total days. Be Careful with the Wording: We need to watch the wording carefully when working any ratio or proportion problem.One method for solving a proportion problem is to find the appropriate equivalent ratio.We could have solved the original problem by setting up a proportion and then finding what the equivalent fraction would have to be.The correct ratio is 1 : 5, since on average out of six tickets we would expect one winning ticket and five losing tickets.(b) How many tickets would you expect to have to buy in order for three of them to be winners?Worked out problems on ratio and proportion are explained here in detailed description using step-by-step procedure. Solution: Let the number of 50 p, 25 p and 20 p coins be 2x, 3x and 4x.Solved examples involving different questions related to comparison of ratios in ascending order or descending order, simplification of ratios and also word problems on ratio proportion. Then 2x × 50/100 3x × 25/100 4x × 20/100 = 510x/1 3x/4 4x/5 = 510(20x 15x 16x)/20 = 510 ⇒ 51x/20 = 510x = (510 × 20)/51 x = 2002x = 2 × 200 = 400 3x = 3 × 200 = 600 4x = 4 × 200 = 800. Fw-300 #ya-qn-sort h2 /* Breadcrumb */ #ya-question-breadcrumb #ya-question-breadcrumb i #ya-question-breadcrumb a #bc .ya-q-full-text, .ya-q-text #ya-question-detail h1 html[lang="zh-Hant-TW"] .ya-q-full-text, html[lang="zh-Hant-TW"] .ya-q-text, html[lang="zh-Hant-HK"] .ya-q-full-text, html[lang="zh-Hant-HK"] .ya-q-text html[lang="zh-Hant-TW"] #ya-question-detail h1, html[lang="zh-Hant-HK"] #ya-question-detail h1 /* Trending Now */ /* Center Rail */ #ya-center-rail .profile-banner-default .ya-ba-title #Stencil . Bgc-lgr .tupwrap .comment-text /* Right Rail */ #Stencil . Fw-300 .qstn-title #ya-trending-questions-show-more, #ya-related-questions-show-more #ya-trending-questions-more, #ya-related-questions-more /* DMROS */ .In this case the numerals representing the number of girls are in the numerators and the numerals representing the number of boys are in the denominators.Example: A student attends only 3 out of every 4 days during a summer course.

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