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

Unit 4 Review Flashcards

Unit 4 Review Flashcards

ALA: Pre-AlgebraUnit 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 + X3:1The 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 + X1:3The 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 + X3:4The 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 + X1:4The 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 doctors6 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 + XWe could set up a proportion:

2 doctors = 3 doctors6 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 + XWe could set up a proportion:

2 doctors = x doctors6 nurses 15 nurses

6x = 30, so x = 5 doctors

Is this a true proportion?

12 = 2015 40

X + XNo,since 12 x 40

is not equal to 15 x 20.

Is this a true proportion?

5 = 2015 60

X + XYES,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 + XWe could set up a proportion:

2 Coke = x Coke5 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 Pepsi5 people 300 people

5x = 900, so x = 180 Pepsi-lovers(We could also have subtracted 300 – 120 from the previous problem!)

You are done with the ALA Unit 4 Review

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