RATIOS and PROPORTIONS

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Presentation transcript:

RATIOS and PROPORTIONS Cain Sep 2008

RATIO All fractions are ratios! a comparison of two numbers by division RATIO All fractions are ratios!

PERCENTS are RATIOS fractions The percent sign (%) means hundredth One percent is one hundredth 12% is twelve hundredths 75% is 75 out of 100

PROPORTIONS A proportion is an equation in the form Vocab stating that two ratios are equal. Vocab a comparison of two numbers by division

7 out of 20 is proportional to what # out of 1000? Write as a fraction A proportion is an equation in the form stating that two ratios are equal. In your notes, write each proportion like this…. 7 out of 20 is proportional to what # out of 1000? Write as a fraction Then Solve!

= % 100 Proportion is_ of What percent of 400 is 50? % 100 = Proportion Cross Multiply to Solve

What % of 400 is 50? is_ of = % 100 12.5% then SOLVE

What % of 275 is 33? CROSS MULTIPLY

Let’s try a different question 17 is 25% of what number? (let’s use n) % 100 = is_ of 25 100 17_ n =

17 is 25% of what number?

= 13 100 Here’s another one n_ 200 How much is 13% of 200? (let’s use n) n_ 200 13 100 =

How much is 13% of 200?

= = % 100 % 100 Write in your journal out of means division is_ of % 100 = is_ of OR % 100 = part_ total

Now, using your journal notes, solve the following proportions Please write down the problem, then solve. Now, using your journal notes, solve the following proportions 28 is 70% of what number? n=40 Proportion: How much is 35% of $20? n=$7 Proportion:

% 100 = part_ total What’s part out of total mean? Brock got 28 out of 40 problems correct on the test. What percent correct did he make?

Did you know maps use ratios and proportions? When a map’s scale is 1 inch to 25 miles, it means every inch on the map represents 25 miles Represented by 1:25 If on this map, a railway was 6 inches long, how long is it really? (in miles) The colon means proportion 150 miles How did you get 150 miles?

Ratios & Proportions on Maps On a map with a scale of 1:25, a railway was 6 inches long, how long is it in miles? this ratio as a fraction is one (1) inch to 25 (miles) 1:25 is how many miles?

Label Your Proportions! The proportion is Label Your Proportions! Cross multiply and the answer is 150 miles

Label Your Proportions! Mrs. Cain’s car uses 9 gallons to travel 180 miles. How much gas is needed for 750 miles? 37.5 gallons Mike can tile 15 units of a flooring in 2.5 hours. How many units can he tile in 8 hours? 48 units