On a map, 1 cm represents 3.27 km. It is 24.5 cm between two cities on this map. What is the actual distance between the two cities? 1𝑐𝑚 24.5𝑐𝑚 = 3.27𝑘𝑚 𝑥 𝑘𝑚 1x = 80.115 km The ratio of a number to 100 “percent” means per one hundred Symbol is % To solve problems with percent, we need to change the percent to a decimal Move the decimal place 2 spaces to the LEFT If there is no decimal it is always at the end!! Write as a decimal. 35% 0.35 5% 0.05 138% 1.38 0.8% 0.008 First, change the fraction to a decimal Move the decimal place 2 spaces to the RIGHT to make the decimal a percent Write as a percent. - 2 3 5 4 0.67 67% - 1.25 -125% Write as a percent. - 3 4 3 8 0.75 75% - 0.375 - 37.5% 15.5% of 60 is what number? 0.155 ∙ 60 = 9.3 = n n 24 is what percent of 120? 24 = p 24 = 120 p 120 120 0.2 = p 20% = p ∙ 120 25% of what number is 15? .25 ∙ .25 n = 15 .25 .25 n = 60 n = 15 Write ratio (fraction) ℎ𝑜𝑤 𝑚𝑎𝑛𝑦 as 𝑇𝑜𝑡𝑎𝑙 Change fraction to a decimal by dividing Move the decimal two places to the RIGHT On a test of 25 items, a student got 19 correct. What percent were correct? 19 = 0.76 25 76% A baseball player had 12 hits in 20 times at bat. What percent of his times at bat resulted in a hit? 12 = 0.6 20 60% The sales tax rate in PA is 6%. a. How much tax would be charged on a purchase of $300.00? Change 6% to a decimal : 0.06 Multiply cost by tax: $300.00 ∙ 0.06 = $18.00 b. What would be the total cost of the purchase? Add cost of item and the tax: $300.00 + 18. 00 = $318. 00 Pg. 156 #’s 1 – 30 even; 37 and 38