BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Help me understand this one

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Junior | Next Rank: 30 Posts
Posts: 26
Joined: Thu Jul 24, 2008 7:33 am

Help me understand this one

by Ilikemeat321 » Wed Jul 30, 2008 5:58 am
Question # 8
A has $18 more than what B & C together would have had if both B and C had 1/4 of what A has. How much does A have?

(A) 20

(B) 48

(C) 32

(D) 36

(E) 40

Way I did this:

Let N be how much A has

B+C = 1/4 *n

N= n/4+ 18 ?

the offical answer is:

N= n/4+n/4+18

can someone explain to me where that extra n/4 comes from?
Top
Source: — Problem Solving |
Senior | Next Rank: 100 Posts
Posts: 58
Joined: Fri Jul 18, 2008 12:26 pm
Thanked: 2 times

by malolakrupa » Wed Jul 30, 2008 6:22 am
Lets assume A has X dollars . Hence B and C both have $ X/4 each (both B and C had 1/4 of what A has)

Hence the equation is

X - 18 = X/4 + X/4

solving this gives X = 36
Top
Junior | Next Rank: 30 Posts
Posts: 26
Joined: Thu Jul 24, 2008 7:33 am

by Ilikemeat321 » Wed Jul 30, 2008 6:31 am
malolakrupa wrote:Lets assume A has X dollars . Hence B and C both have $ X/4 each (both B and C had 1/4 of what A has)

Hence the equation is

X - 18 = X/4 + X/4

solving this gives X = 36
Thanks! I should read it more carefully, Both B and C ... B = n/4
C=n/4

or n/4/2
Top
Senior | Next Rank: 100 Posts
Posts: 75
Joined: Sun Jun 22, 2008 4:59 am
Thanked: 2 times

by dbart06 » Wed Jul 30, 2008 6:31 am
Here is how I did it:

I plugged in the answers & worked backwards:

Started with d)36..it says that B&C are 1/4 of A
B=9 C=9 together that is 18.
It states that A is 18 more than B&C together which means:
B+C+18=A =>9 + 9 +18 = 36

What is OA?
Top
Junior | Next Rank: 30 Posts
Posts: 26
Joined: Thu Jul 24, 2008 7:33 am

by Ilikemeat321 » Wed Jul 30, 2008 6:34 am
dbart06 wrote:Here is how I did it:

I plugged in the answers & worked backwards:

Started with d)36..it says that B&C are 1/4 of A
B=9 C=9 together that is 18.
It states that A is 18 more than B&C together which means:
B+C+18=A =>9 + 9 +18 = 36

What is OA?
yep that works too 36 is correct
Top
Post new topic Post Reply
• Page 1 of 1