If the Lincoln Library's total expenditure for books, periodicals, and

Question

If the Lincoln Library's total expenditure for books, periodicals, and newspapers last year was $44,000, how much of the expenditure was for books?
 
(1) The expenditure for books was 20 percent greater than the total expenditure for periodicals and newspapers.
(2) The total of the expenditure for books and newspapers was twice the expenditure for periodicals.

Nikkb · Answer

Find total expenditure on Books.

Let expenditure on Books = b , Newspaper = n and periodicals = p

given : b+n+p = 44,000

(1) The expenditure for books was 20 percent greater than the total expenditure for periodicals and newspapers.
=> b = (1+20/100) * (p+n)
=> b=1.2*(p+n)  Sufficient  as we can find value of b from here

as b+p+n = 44000
=> 1.2(p+n)+(p+n)=44000
=>2.2(p+n)=44000
=>(p+n) = 44000/2.2 =20000
so b = 1.2 (20000) = 24000 or b = 44000-20000 = 24000

Sufficient

(2) The total of the expenditure for books and newspapers was twice the expenditure for periodicals. 
=> (b+n)=2p
By this if we calculate we can find b+n but will not be able to find value of b alone.  Not sufficient.

(b+n)=2p
so b+n+p=44000
=> 2p+p =44000
=>3p=44000
=>p=44000/3
=> b+n = 2* (44000/3) = 88000/3

Here we know b+n but we cannot find b alone.

Not sufficient

Answer: A

maray · Answer

1. b=1.2 (p+n)
b+p+n= 44,000
2.2 (p+n)=44,000
p+n=20,000
b=24,000 Suf.
2. b+n=2p
3p=44,000
p=44,000/3
b-? Not suf/

Answer A

MSIMBA · Answer

given : b+n+p = 44,000

(1) b = (p +n) + 0.2 ( p + n) = 1.2 (p+n)

as b+p+n = 44000
 1.2(p+n)+(p+n)=44000
 2.2(p+n)=44000
 b = 24000

Sufficient

(2) The total of the expenditure for books and newspapers was twice the expenditure for periodicals. 
(b+n)=2p
so b+n+p=44000
 2p+p =44000
p=44000/3
 b+n = 2* (44000/3) = 88000/3

cannot find b alone.

Not sufficient

Answer: A

AdarshSambare · Answer

Given b + p + n = 44,000.

Statement (1): b = 1.2(p + n)
Substitute: 1.2(p + n) + p + n = 44,000 ⇒ 2.2(p + n) = 44,000 ⇒ p + n = 20,000 ⇒ b = 1.2 × 20,000 = 24,000. We can find b. Statement (1) sufficient.

Statement (2): b + n = 2p
Using total: (b + n) + p = 44,000 ⇒ 2p + p = 44,000 ⇒ 3p = 44,000 ⇒ p = 44,000/3. We cannot determine b (n unknown), so Statement (2) not sufficient.

Answer: A

If the Lincoln Library's total expenditure for books, periodicals, and

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