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Question
what did snidely say after filling his car with super premium, top test, power plus gasoline? solve each problem and find your answer in the rectangle below. cross out the box that contains your answer. when you finish, write the letters from the remaining boxes in the spaces at the bottom of the page. ① the jelly junior high school color is made by mixing red paint with yellow paint. the ratio of red to yellow is 3 to 5. how much red paint should be mixed with 20 oz of yellow? __ oz ② the lawn order lawnmower factory can produce 12 lawnmowers in 8 hours. how many hours will it take the factory to produce 30 lawnmowers? h ③ an object that weighs 10 lb on earth would weigh only 4 lb on mars. if you weigh 95 lb on earth, how much would you weigh on mars? lb ④ the ratio of orange juice to pineapple juice in tropical treat punch is 4 to 3. bill has 64 oz of orange juice. how much pineapple juice does he need? oz ⑤ a cookie recipe for 60 cookies calls for 4 cups of flour. how much flour is needed to make 90 cookies? cups ⑥ jose can read 7 pages of his book in 5 minutes. at this rate, how long will it take him to read the entire 175 - page book? min ⑦ while exercising, julie found that her heart was beating 12 times every 5 seconds. how many times was it beating per minute (60 seconds)? ⑧ if there are 1,200 calories in 8 oz of hot fudge, how many calories are in 3 oz of hot fudge? cal ⑨ at a certain college, the ratio of men to women is 6 to 5. if there are 1,500 men, how many women are there? ⑩ one of the worlds largest stained - glass windows is at kennedy international airport in new york. it is a rectangle with a height to length ratio of 2 to 25. if the window is 24 feet high, how long is it? __ ft hi 450 pu 48 ta 1,210 ke 300 ep 12 ju 125 nk 340 in 20 go 136 to 1,250 ho 6 od 15 ne 40 ed 144 ga 36 ss 7
Step1: Set up ratio - paint problem
Let $x$ be the amount of red paint. The ratio of red to yellow is $\frac{3}{5}=\frac{x}{20}$. Cross - multiply: $5x = 3\times20$.
Step2: Solve for $x$
$5x=60$, so $x = 12$ oz.
Step3: Set up ratio - lawnmower problem
The factory produces 12 lawnmowers in 8 hours. The rate is $\frac{12}{8}=\frac{3}{2}$ lawnmowers per hour. Let $t$ be the time to produce 30 lawnmowers. Then $\frac{3}{2}=\frac{30}{t}$, cross - multiply: $3t=60$, so $t = 20$ h.
Step4: Set up ratio - weight problem
If 10 lb on Earth is 4 lb on Mars, let $y$ be the weight on Mars for 95 lb on Earth. Then $\frac{4}{10}=\frac{y}{95}$, cross - multiply: $10y = 4\times95=380$, so $y = 38$ lb.
Step5: Set up ratio - juice problem
The ratio of orange juice to pineapple juice is $\frac{4}{3}=\frac{64}{z}$. Cross - multiply: $4z=64\times3 = 192$, so $z = 48$ oz.
Step6: Set up ratio - cookie problem
For 60 cookies, 4 cups of flour are needed. Let $w$ be the flour for 90 cookies. The ratio is $\frac{4}{60}=\frac{w}{90}$, cross - multiply: $60w=4\times90 = 360$, so $w = 6$ cups.
Step7: Set up ratio - reading problem
Jose reads 7 pages in 5 minutes. Let $m$ be the time to read 175 pages. The ratio is $\frac{7}{5}=\frac{175}{m}$, cross - multiply: $7m=175\times5=875$, so $m = 125$ min.
Step8: Set up ratio - heart rate problem
The heart beats 12 times in 5 seconds. Let $b$ be the beats per minute (60 seconds). The ratio is $\frac{12}{5}=\frac{b}{60}$, cross - multiply: $5b=12\times60 = 720$, so $b = 144$ times per minute.
Step9: Set up ratio - calorie problem
If 8 oz of hot fudge has 1200 calories, let $c$ be the calories in 3 oz. The ratio is $\frac{1200}{8}=\frac{c}{3}$, cross - multiply: $8c=1200\times3 = 3600$, so $c = 450$ cal.
Step10: Set up ratio - college ratio problem
The ratio of men to women is $\frac{6}{5}=\frac{1500}{u}$. Cross - multiply: $6u=1500\times5 = 7500$, so $u = 1250$ women.
Step11: Set up ratio - window problem
The height - to - length ratio of the window is $\frac{2}{25}=\frac{24}{l}$. Cross - multiply: $2l=24\times25 = 600$, so $l = 300$ ft.
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