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A particular vehicle dealer sells only cars and trucks. The ratio of cars to trucks is 3:4, the ratio of four-wheel-drive trucks to two-drive trucks is 7:3, and the ratio of luxury cars to non-luxury cars is 3:2 . If there are 108 luxury cars, what is the ratio of twp-wheel-drive trucks to non-luxury cars ?
A. 1:1
B. 1:2
C. 2:3
D. 3:2
E. 14:9
A. 1:1
B. 1:2
C. 2:3
D. 3:2
E. 14:9
07 Jun 2021, 08:55
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The ratio of luxury cars to non-luxury cars is 3:2. As there are 108 luxury cars, there are (108/3)*2 = 72 non-luxury cars.
Total cars: 108+72 = 180
As the ratio of cars to trucks is 3:4, then there are (180/3)*4 = 240 trucks
And as the ratio of four-wheel-drive trucks to two-wheel-drive trucks is 7:3, then there are (240/10)*3 = 72 two-wheel-drive trucks
The ratio of two-wheel-drive trucks to non-luxury cars therefore is 72:72 or 1:1
Answer A
Total cars: 108+72 = 180
As the ratio of cars to trucks is 3:4, then there are (180/3)*4 = 240 trucks
And as the ratio of four-wheel-drive trucks to two-wheel-drive trucks is 7:3, then there are (240/10)*3 = 72 two-wheel-drive trucks
The ratio of two-wheel-drive trucks to non-luxury cars therefore is 72:72 or 1:1
Answer A
07 Jun 2021, 09:09
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If the ratio of luxury cars to non-luxury cars is 3 to 2, then 2/5 of cars are non-luxury cars.
If the ratio of four-wheel trucks to two-wheel trucks is 7 to 3, then 3/10 of all trucks are two-wheel trucks.
So, if the ratio of cars to trucks is 3 to 4, the ratio of non-luxury cars to two-wheel trucks is (2/5)(3) to (3/10)(4), or 6/5 to 6/5, or 1 to 1.
The answer is completely independent of the number provided ("there are 108 luxury cars"), so there's no reason to even look at that information.
Posted from my mobile device
If the ratio of four-wheel trucks to two-wheel trucks is 7 to 3, then 3/10 of all trucks are two-wheel trucks.
So, if the ratio of cars to trucks is 3 to 4, the ratio of non-luxury cars to two-wheel trucks is (2/5)(3) to (3/10)(4), or 6/5 to 6/5, or 1 to 1.
The answer is completely independent of the number provided ("there are 108 luxury cars"), so there's no reason to even look at that information.
Posted from my mobile device
