Carcass wrote:

A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 3:2. The ratio of economy cars to sport utility vehicles is 4:3. What is the ratio of luxury cars to sport utility vehicles?

A. 9:8

B. 8:9

C. 3:2

D. 2:3

E. 1:2

Given:

economy:

luxury =

3:

2economy:

sport =

4:

3We need to COMBINE these ratios.

Since both ratios include

economy vehicles, we'll find equivalent ratios that share the same value for

economy vehicles.

Take the top ratio,

3:

2 and multiply both sides by 4 to get the equivalent ratio

12:

8Take the bottom ratio,

4:

3 and multiply both sides by 3 to get the equivalent ratio

12:

9At this point, we can combine the ratios to get:

economy:

luxury:

sport =

12:

8:

9What is the ratio of luxury cars to sport utility vehicles?luxury:

sport =

8:

9Answer: B

Cheers,

Brent

_________________

Brent Hanneson – Creator of greenlighttestprep.com

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