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Nate Dogg sings hooks for two different prices: $52 for an EP and $58 for an LP. How many EP hooks did he sing?

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Nate Dogg sings hooks for two different prices: $52 for an EP and $58 for an LP. How many EP hooks did he sing?

by Vincen » Tue Apr 28, 2020 6:46 am

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B

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D

E

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Nate Dogg sings hooks for two different prices: $52 for an EP and $58 for an LP. How many EP hooks did he sing?

(1) Nate sang a total of 9 hooks

(2) Nate earned $492 from singing hooks

[spoiler]OA=B[/spoiler]

Source: Veritas Prep
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Source: — Data Sufficiency |
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Re: Nate Dogg sings hooks for two different prices: $52 for an EP and $58 for an LP. How many EP hooks did he sing?

by deloitte247 » Sat May 02, 2020 9:13 am

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00:00

Your Answer

A

B

C

D

E

Global Stats

Let number of EP hooks = e
Let number of LP hooks = l
1e = $52 and 1l = $58

Target question => How many EP hooks did he sing?

Statement 1 => Nate sang a total of 9 hooks
e + l = 9 ; e = 9 - l
The exact value of l is unknown so target question cannot be answered, statement 1 is NOT SUFFICIENT

Statement 2 => Nate earned $492 from singing hooks
$52e + $58l = $492
$$Dividing\ through\ by\ 2$$ $$\frac{52e}{2}+\frac{58l}{2}=\frac{492}{2}$$
$$=26e+29l=246$$
Since e and l are expected to be whole integers ( for a whole hook )
$$then,\ 26e=246-29l$$ $$e\ =\ \frac{246-29l}{26}$$
For e to be an integer, 246 - 29l must be divisible by 6, the only pair of number that satisfies this is when e = 5 and l = 4
Statement 2 alone is sufficient

Answer = B
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