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1150 day 11
1150 day 11
1150 day 11
1150 day 11
1150 day 11
1150 day 11
1150 day 11
1150 day 11
1150 day 11
1150 day 11
1150 day 11
1150 day 11
1150 day 11
1150 day 11
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1150 day 11

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Transcript

  • 1. Ratios, Proportionsand Percents
  • 2. A ratio is a comparison of two quantities.Write a ratio comparing the number of squares tothe number of circles. 3 to 2 3:2 3 2
  • 3. Two equal ratios form a proportion. Circles 2 4 squares 3 6 2=4 3 6 proportion
  • 4. Solving proportions x3 3= n n=9 Look for a multiplier 4 12 (scale factor) x3 30 7n No obvious multiplier - 5= n Cross multiply 7 6 7n = 30 7 7 2 n=47
  • 5. Three out of every 10 adults segregate their food.a) Write this information as a ratio. Segregators 3 total 10b) In a group of 90 people, how many would you expect to be food segregators? x9Segregators 3 = x x = 27 total 10 90 x9
  • 6. The scale on a map is 1 inch = 20 miles.a) If two towns are 4 ½ inches apart on the map, howmany miles apart are they? 1x 20 · 4 ½ x = 20 · 9 = 180 = 90Inch 1 = 4½ 2 2Mile 20 x 90 miles apartb) If two towns are 75 miles apart, how far apart willthey be on the map? 75 20x 20x = 75 3 ¾ inches apartInch 1 = x 20 20Mile 20 75 x = 75 5 = 15 20 5 4
  • 7. Percents• “Percent” means “out of 100”• Percents are rational numbers 41 41% = 100 260 260% = 100 0.2 10 2 0.2% = 100 10 1000 100 1 100% = 100
  • 8. Fractions/Decimals/PercentsPercents Fractions 16 416% = 100 25 Move decimal pointPercents Decimals two places left 1616% = = 0.16 175% = 1.75 100 0.05% = 0.0005
  • 9. Fractions Percents 5 x5 25 = 25% 20 x5 100 16 3 50 6x = 100 3 1 x 6 6 20 6 100 x = 50 18 3 2 2 = 16 % 3
  • 10. Decimals Percents Move decimal point two places right 370.37 = 37% 100 0.0004 = 0.04% 36.7 = 3670%
  • 11. The Percent Proportion percent part = 100 whole What is 20% of 18? 20 x 100x = 360 = 100 100 100 18 x = 3.6
  • 12. 3 is 6% of what number?part percent whole percent part = 100 whole 6 3 = 100 x 6x = 300 6 6 x = 50
  • 13. A dress that normally sells for $80 is on sale for $52.What is the “percent off”?1) Find the markdown 80 – 52 = 282) Percent: x Part: 28 Whole: 80 x 28 = 100 80 80x = 2800 x = 35 35 % off

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