Mth 211 Ratio Royale

Behold some great problems. It would be nice to at least see a ratio set up, then you indicate what you want to do with your ratio. We’ll look at some of these in class!

1 1 [A] If Billy can crawl /2 mile in 4 hours, how long will it take him to crawl 4 /4 miles?

[B] The ratio of Graduate Students to Undergraduate Students at EWU is 4 : 46 . If there are 9500 total students (Graduate and Undergraduate combined), how many of them are Graduate Students?

[C] Your mechanic looks at your car, and she suggests a “Winter Mix” of 3 parts AntiFreeze to 4 parts Water for your car. Because your radiator has a capacity of 14 liters, how many liters of AntiFreeze will you be adding if you follow your mechanic’s advice?

3 [D] Knowing that your recipe indicates 5 /4 cups of flour will make 280 cookies, how 7 many cookies will be made from 25 /8 cups of flour?

[E] If you want to buy Clean-O Brand Soap Flakes , which is the better buy and why? Option A: Spending $ 3.50 for 70 ounces or Option B: Spending $ 8.75 for 150 ounces

1 1 [F] Saffron sells at a rate of $ 7.35 for /8 lb. Buying 2 /2 lbs. at that rate would cost how much money?

[G] There are 600 individual Light Bulbz® in a every case that the Company makes 3 and ships to its warehouses nationwide. The Company can produce 2 /4 cases every 90 minutes. At that rate, i) How many individual Light Bulbz® are made in 2.5 hours? ii) How many cases are made in 2.5 hours?

[H] The Precision Pfeffernuesen Team has very strict measures. They add 1.80 ml of Liquid Star Anise for every 5.25 lbs of Flour. The head of the team, Mrs. Kleinschmidt, says that today they must prepare an order of Pfeffernuesen which requires 6.48 ml of Liquid Star Anise. How many lbs of Flour will be used for this order?

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** Notice that from the “Treasure Trove of Fractions” sheet, problems [6], [7], [9], and [10] all lend themselves very nicely to a ratio set-up. Try it!