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# A luxury car dealership sells only Ferraris and Lamborghinis.

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A luxury car dealership sells only Ferraris and Lamborghinis.  [#permalink]

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Updated on: 03 Nov 2018, 09:50
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Difficulty:

5% (low)

Question Stats:

81% (00:51) correct 19% (01:14) wrong based on 67 sessions

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A luxury car dealership sells only Ferraris and Lamborghinis. If the number of Ferraris for sale is 4/9 of the total number of cars for sale, then for every 4 Ferraris there are:
A. 2 Lamborghinis
B. 3 Lamborghinis
C. 4 Lamborghinis
D. 5 Lamborghinis
E. 9 Lamborghinis

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Originally posted by Baten80 on 01 Nov 2018, 15:52.
Last edited by Baten80 on 03 Nov 2018, 09:50, edited 1 time in total.
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Re: A luxury car dealership sells only Ferraris and Lamborghinis.  [#permalink]

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03 Nov 2018, 03:24
1
You mean $$\frac{4}{9}$$

In this case, if the number of cars is $$x$$, the number of ferraris is $$\frac{4}{9}*x$$

If the number of ferraris is 4 then $$\frac{4}{9}*x=4$$ means that $$x=9$$

So 9 cars in total, so 5 lambos.

Hope it is clear.
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Re: A luxury car dealership sells only Ferraris and Lamborghinis.  [#permalink]

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04 Nov 2018, 18:00
Baten80 wrote:
A luxury car dealership sells only Ferraris and Lamborghinis. If the number of Ferraris for sale is 4/9 of the total number of cars for sale, then for every 4 Ferraris there are:
A. 2 Lamborghinis
B. 3 Lamborghinis
C. 4 Lamborghinis
D. 5 Lamborghinis
E. 9 Lamborghinis

We can create the equation:

F/(F + L) = 4/9

9F = 4F + 4L

5F = 4L

Alternate Solution:

Since the fraction of Ferraris for sale is 4/9 of the total, then the fraction of Lamborghinis for sale is 5/9 of the total. If we were to assume that there were 9 cars for sale, we would see that there were 4
Ferraris and 5 Lamborghinis, with a resulting ratio of 4 to 5.

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Re: A luxury car dealership sells only Ferraris and Lamborghinis.  [#permalink]

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21 Nov 2019, 08:17
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Baten80 wrote:
A luxury car dealership sells only Ferraris and Lamborghinis. If the number of Ferraris for sale is 4/9 of the total number of cars for sale, then for every 4 Ferraris there are:
A. 2 Lamborghinis
B. 3 Lamborghinis
C. 4 Lamborghinis
D. 5 Lamborghinis
E. 9 Lamborghinis

The number of Ferraris for sale is 4/9 of the TOTAL number of cars for sale
In other words, out of every 9 cars sold 4 of them are Ferraris.
In other words, out of every 9 cars sold 5 of them are NOT Ferraris.
In other words, for every 4 Ferrari sold, 5 NON Ferraris are sold
Since the dealership sells only Ferraris and Lamborghinis, we know that 5 Lamborghinis are sold

Cheers,
Brent
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Re: A luxury car dealership sells only Ferraris and Lamborghinis.   [#permalink] 21 Nov 2019, 08:17
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