Problem Solving Ratio And Proportion

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In practice, if we were to actually buy 18 tickets, we may not actually get exactly 3 winning tickets, since this is actually a probability question where the number of tickets could be more or less than 18 tickets, but the average expected number would be 18.

If a beverage company advertices one of every eight bottles of pop wins a free bottle of pop, how many winning bottles would one expect in a gross?

Example: A state lottery sells scratch tickets and guarantees that one out of every six tickets is a winning ticket.

(a) Express the ratio of winning tickets to losing tickets in simplest form. The ratio of winning tickets to losing tickets is not 1 : 6.

And a tip; Besides understanding, if you also enjoy it, you're going to be very successful.

Engineering Cover Letter Internship - Problem Solving Ratio And Proportion

Once you know that, the problem will be easy as flipping a coin... Solution: Sum of the terms of the ratio = 3 4 = 7 Sum of numbers = 63 Therefore, first number = 3/7 × 63 = 27 Second number = 4/7 × 63 = 36 Therefore, the two numbers are 27 and 36. If x : y = 1 : 2, find the value of (2x 3y) : (x 4y) Solution: x : y = 1 : 2 means x/y = 1/2 Now, (2x 3y) : (x 4y) = (2x 3y)/(x 4y) [Divide numerator and denominator by y.] = [(2x 3y)/y]/[(x 4y)/2] = [2(x/y) 3]/[(x/y) 4], put x/y = 1/2 We get = [2 (1/2) 3)/(1/2 4) = (1 3)/[(1 8)/2] = 4/(9/2) = 4/1 × 2/9 = 8/9 Therefore the value of (2x 3y) : (x 4y) = 8 : 9 More solved problems on ratio and proportion are explained here with full description.Therefore, number of 50 p coins, 25 p coins and 20 p coins are 400, 600, 800 respectively. If 2A = 3B = 4C, find A : B : C Solution: Let 2A = 3B = 4C = x So, A = x/2 B = x/3 C = x/4 The L. M of 2, 3 and 4 is 12 Therefore, A : B : C = x/2 × 12 : x/3 × 12 : x/4 = 12 = 6x : 4x : 3x = 6 : 4 : 3 Therefore, A : B : C = 6 : 4 : 3 6. Solution: Length of ribbon originally = 30 cm Let the original length be 5x and reduced length be 3x.Solution: Let the money received by Ron, Sam and Maria be 2x, 3x, 5x respectively. Therefore, 5x = 150 or, x = 150/5 or, x = 30 So, Ron got = 2x = $ 2 × 30 = Sam got = 3x = 3 × 60 = Therefore, the total amount $(60 90 150) = 0 9. Product of extreme terms = 42 ×x Product of mean terms = 36 X 35 Since, the numbers make up a proportion Therefore, 42 × x = 36 × 35 or, x = (36 × 35)/42 or, x = 30 Therefore, the fourth term of the proportion is 30.Divide 0 into three parts such that second part is 1/4 of the third part and the ratio between the first and the third part is 3 : 5. Solution: Let the first and the third parts be 3x and 5x. = (1/4) × 5x = 5x/4 Therefore, 3x (5x/4) 5x = 370 (12x 5x 20x)/4 = 370 37x/4 = 370 x = (370 × 4)/37 x = 10 × 4 x = 40 Therefore, first part = 3x = 3 × 40 = 0 Second part = 5x/4 = 5 × 40/4 = Third part = 5x = 5 × 40 = $ 200 10. More worked out problems on ratio and proportion using step-by-step explanation. Set up all possible proportions from the numbers 8, 12, 20, 30.x = 18', CAPTION, 'One would expect approximately 18 winning bottles in a gross.', CAPTIONSIZE, 2, CGCOLOR, '#006600', PADX, 5, 5, PADY, 5, 5, SHADOW, 0, SHADOWCOLOR, '#c0c0c0', BUBBLECLOSE, STICKY, CLOSECLICK, CLOSETEXT, '', BELOW, RIGHT, BORDER, 1, BGCOLOR, '#006600', FGCOLOR, '#dcffdc', WIDTH, 400, TEXTSIZE, 2, TEXTCOLOR, '#000000', CAPCOLOR, '#FFFFFF');" onfocus="return overlib('x = 18', CAPTION, 'One would expect approximately 18 winning bottles in a gross.', CAPTIONSIZE, 2, CGCOLOR, '#006600', PADX, 5, 5, PADY, 5, 5, SHADOW, 0, SHADOWCOLOR, '#c0c0c0', BUBBLECLOSE, STICKY, CLOSECLICK, CLOSETEXT, '', BELOW, RIGHT, BORDER, 1, BGCOLOR, '#006600', FGCOLOR, '#dcffdc', WIDTH, 400, TEXTSIZE, 2, TEXTCOLOR, '#000000', CAPCOLOR, '#FFFFFF');"A mother of three is pregnant with her fourth child. One evening, the eldest daughter says to her dad: "Dad, do you know what I just found out? 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?

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