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Determine which pair of ratios does NOT form a proportion. A) 30 75 and 8 20 B) 3 2 and 27 18 C) 2.5 and 7.5 4 .5 13 D. 22.5 36 and 15 24 Method 1: Check the cross products. Cross products of proportions are always equal. Method 2: Convert each ratio to a decimal. Both ratios will equal the same decimal value if they form a proportion. For example: 30(20)=600 and 8(75)=600 So 30 8 For example: 30/75= .4 and 8/20 = .4 So 30 8 75 20 does form a proportion. 75 20 does form a proportion. Do the following pairs of ratios form proportions? 8 3 12 4.5 12(3)=36 and 8(4.5)=36 So they do form a proportion 9 27 6 20 9(20)=180 and 6(27)=162 So they do not form a proportion Use a proportion to determine whether or not the two candy bars below contain an equal proportion of sugar. Snickers: A 59 gram candy bar contains 30 grams of sugar. Milky Way: A 72 gram candy bar contains 35 grams of sugar. 59 g bar 72 g bar ? 30 g sugar 35 g sugar 59(35) ? 72(30) 2065 2160 Since the cross products are not equal the bars do not Contain an equal proportion of sugar! Use a proportion to determine whether or not the two bags of potato chips below contain an equal proportion of carbs. Lays: A 40 gram bag contains 14 grams of carbs. Ruffles: A 60 gram bag contains 21 grams of carbs. 40 g bag 60 g bag ? 14 g carbs 21g carbs 40(21) ? 60(14) 840 840 Since the cross products are equal the bags contain an equal proportion of carbs! A 12 ounce can of Coke costs $0.75 when purchased from the soda machine at the school. An 18 ounce bottle of Pepsi from the soda machine at the local gas station costs $1.25. Find the unit cost of each to determine which location has the less expensive soda per ounce? Coke .75 / 12 $.06 per ounce Pepsi 1.25 / 18 $.07 per ounce Coke is the better deal because it is $.01 cheaper per ounce A 20 ounce bag of potato chips costs $3.99 at the store. The same brand of chips costs $.50 for 3 oz in the vending machine. Find the unit price for each ounce and determine the better deal. Store 3.99 / 20 $.20 per ounce Vend .50 / 3 $.17 per ounce The vending machine has the better deal because those chips cost 3 cents more per ounce. The ratio of teachers to students in the gym is 2 to 9. How many teachers are in the gym if there is a total of 165 students and teachers altogether in the gym? The problem tells you that in the ratio there are 2 teachers To every 9 students. Next, it gives you the total number of 165. This means you need the total in the ratio of 9+2=11 2 teachers x teachers 11total 165 total 11(165) 2 30 teachers The ratio of fish to snails in an aquarium is 4 to 5. How many fish are in the aquarium if there is a total of 117 fish and snails altogether in the aquarium? 4 fish x fish 9 total 117 total 4(117) 9 52 fish Which ratio is equivalent to 30 40 12 15 15 20 4 7 ? 4 12 You can simplify each ratio or change each ratio to a decimal to compare. Both 30 40 and 15 20 simplify to 3 4 or .75 so they are equivalent Which ratio is equivalent to 18 45 1 2 4 10 4 6 ? 1 9 You can simplify each ratio or change each ratio to a decimal to compare. Both 18 45 and 4 10 simplify to 2 5 or .4 so they are equivalent