RATIO AND PROPORTION PROBLEMS (3) To see the answer, pass your mouse over the colored area. 19. 1 the only common divisor. Each number says its name. 19. What ratio has
10. Common divisor;
Lowest terms. Express each ratio with the
11. Complete the following with the smallest numbers -- the lowest 11. a) If a is half of b, then a is to b as 1 is to 2. 11. b) If a is a third of b, then a is to b as 1 is to 3. 11. c) If a is four times b, then a is to b as 4 is to 1. 11. d) If a is ten times b, then a is to b as 10 is to 1. 11. e) If a is two thirds of b, then a is to b as 2 is to 3. 11. f) If a is five eighths of b, then a is to b as 5 is to 8. 11. g) If a is nine tenths of b, then a is to b as 9 is to 10. 12. Complete the following with the smallest numbers -- the lowest (Compare Section 1, Problems 2 and 3.) 12. a) If a is 50% of b, then a is to b as 1 is to 2. 12. b) If a is a 25% of b, then a is to b as 1 is to 4. 12. c) If a is 75% of b, then a is to b as 3 is to 4. 12. d) If a is 200% of b, then a is to b as 2 is to 1. 12. e) If a is 300% of b, then a is to b as 3 is to 1. 12. f) If a is 20% of b, then a is to b as 1 is to 5. 12. g) If a is 40% of b, then a is to b as 2 is to 5.
13. Numbers that end in the same number of 0's. If two numbers end in the same number of 0's, then we may ignore those 0's and take the ratio of what remains. (Because when we do that, we have divided both terms by the same power of 10. The quotients will then have the same ratio as the numbers divided.) What ratio has
14. In a class, the ratio of boys to girls was 4 to 5. There were 20 girls. 15. In a survey, the ratio of Yes's to No's was 2 to 3. There were 150 16. The ratio of white roses to red was 3 to 4. There were 32 red roses. 17. The ratio of white roses to red was 3 to 4. Out of 28 roses, how 12 white and 16 red. For, 3 out of every 7 roses -- 3 white + 4 red -- were white. That is, three sevenths of them were white, and four sevenths, red. One seventh of 28 is 4, so three sevenths are 12. The rest, 16, were red. 18. In a survey, the ratio of Yes's to No's was 2 to 3. Out of 100 40 Yes and 60 No. For, the Yes's were two fifths of 100, and the No's, three fifths.
20. The number of girls in a class was two thirds the number of boys. 40%. For, the ratio of girls to boys was 2 to 3. Therefore, 2 out of 5 -- two fifths of the students -- were girls. And two fifths of 100% is 40%. Continue on to the next Lesson. or Return to the previous section. Please make a donation to keep TheMathPage online. Copyright © 2017 Lawrence Spector Questions or comments? E-mail: themathpage@yandex.com Private tutoring available. |