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