# Unit 4 Review Flashcards Unit 4 Review Flashcards ALA: Pre-Algebra Unit 4 Ratios and Proportions.

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Unit 4 Review Flashcards Unit 4 Review Flashcards ALA: Pre-Algebra Unit 4 Ratios and Proportions

A hospital shift has 6 nurses and 2 doctors on duty. What is the ratio of nurses to doctors? Simplify if possible.

X + X 3:1 The ratio of nurses to doctors is 6:2, which simplifies to

A hospital shift has 6 nurses and 2 doctors on duty. What is the ratio of doctors to nurses? Simplify if possible.

X + X 1:3 The ratio of doctors to nurses is 2:6, which simplifies to

A hospital shift has 6 nurses and 2 doctors on duty. What is the ratio of nurses to total medical personnel? Simplify if possible.

X + X 3:4 The ratio of nurses to total medical personnel is 6:8, which simplifies to

A hospital shift has 6 nurses and 2 doctors on duty. What is the ratio of doctors to total medical personnel? Simplify if possible.

X + X 1:4 The ratio of doctors to total medical personnel is 2:8, which simplifies to

A hospital shift normally has 6 nurses and 2 doctors on duty. To prepare for an oncoming storm, the hospital will have 4 doctors on duty. How many nurses should be on duty to keep the usual ratio?

X + X If we double the number of doctors, we need to double the number of nurses, so 12 nurses will be on duty. We could also set up a proportion: 2 doctors = 4 doctors 6 nurses x nurses 2x = 24, so x = 12 nurses

A hospital shift normally has 6 nurses and 2 doctors on duty. To prepare for an oncoming storm, the hospital will have 3 doctors on duty. How many nurses should be on duty to keep the usual ratio?

X + X We could set up a proportion: 2 doctors = 3 doctors 6 nurses x nurses 2x = 18, so x = 9 nurses

A hospital shift normally has 6 nurses and 2 doctors on duty. To prepare for an oncoming storm, the hospital will have 15 nurses on duty. How many doctors should be on duty to keep the usual ratio?

X + X We could set up a proportion: 2 doctors = x doctors 6 nurses 15 nurses 6x = 30, so x = 5 doctors

Is this a true proportion? 12 = 20 15 40

X + X No,since 12 x 40 is not equal to 15 x 20.

Is this a true proportion? 5 = 20 15 60

X + X YES,since 5 x 60 Is equal to 15 x 20.

It takes 8 hours to drive 120 miles. How long will it take to drive 60 miles?

X + X If we drive half as many miles, it will take half as long, so it will take 4 hours. We could also set up a proportion: 120 miles = 60 miles 8 hours x hours 120x = 480, so x = 4 hours

2 out of 5 people prefer Coke to Pepsi. In a crowd of 300 people, how many would you expect to prefer Coke?

X + X We could set up a proportion: 2 Coke = x Coke 5 people 300 people 5x = 600, so x = 120 Coke-lovers

2 out of 5 people prefer Coke to Pepsi. In a crowd of 300 people, how many would you expect to prefer Pepsi?

X + X We could set up a proportion: 3 Pepsi = x Pepsi 5 people 300 people 5x = 900, so x = 180 Pepsi-lovers (We could also have subtracted 300 – 120 from the previous problem!)

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