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 By: Tping (offline)  Saturday, August 24 2013 @ 06:56 AM CDT (Read 538 times)
Tping

1)
4/5 of Barry's stamps was 93 more than 30% of Brain's stamps.
After Barry used 0.7 of his stamps and Brain used 90% of his stamps,
Barry had 36 stamps more than Brian.
How many stamps did Brian have at first?

Junior

Registered: 01/26/12
Posts: 25

 By: echeewh (offline)  Saturday, August 24 2013 @ 07:33 AM CDT
echeewh

Hello <Tping>,

Following is my worked solution:

Let Barry be Y and Brian be N

<before>
(4/5)Y - (3/10)N = 93 -- (1)

<process>
Y: -0.7Y = -(7/10)Y
N: -90%N = -(9/10)N

<after>
(3/10)Y - (1/10)N = 36 -- (2)

Using <Simultaneous> method, eliminate Y from (1),(2):

(1)x3:
(12/5)Y - (9/10)N = 279 -- (3)

(2)x8:
(24/10)Y - (8/10)N = 288 -- (4)

(4)-(3):
(9/10)N - (8/10)N = 9
(1/10)N = 9
N = 90

========

Trust this helps.

Do let me know again if this is different from your <Answerkey> or if there's further clarifications.

Cheers,
Edward

Active Member

Registered: 04/21/11
Posts: 627

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