SOLUTION: Hi joanne and bernard had a certain number of stamps each. If joanne gave 90 stamps to bernard, they would have the same number of stamps. If bernard gave 10 stamps to joanne she

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Hi joanne and bernard had a certain number of stamps each. If joanne gave 90 stamps to bernard, they would have the same number of stamps. If bernard gave 10 stamps to joanne she       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1121429: Hi
joanne and bernard had a certain number of stamps each. If joanne gave 90 stamps to bernard, they would have the same number of stamps. If bernard gave 10 stamps to joanne she would have 5 times as many stamps as bernard. How many did joanne have at first.
thanks
Found 2 solutions by Boreal, josmiceli:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Joanne had x
Bernard had y
x-90=y+90
x+10=5(y-10)
Therefore, x=y+180
so x+10=y+190=5y-50
4y=240
y=60 Bernard
x=y+180=240 Joanne ANSWER

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number that Joanne started with
Let +b+ = number that Bernard started with
———————-
(1) +a+-+90+=+b+%2B+90+
(2) +a+%2B+10+=+5%2A%28+b+-+10+%29+
———————————————-
(2) +a+%2B+10+=+5b+-+50+
(2) +-a+%2B+5b+=+60+
and
(1) +a+-+b+=+180+
Add (1) and (2)
+4b+=+240+
+b+=+60+
and
(1) +a+-+60+=+180+
(1) +a+=+240+
Joanne had 240 to start with
——————————————-
Check
(2) +a+%2B+10+=+5%2A%28+b+-+10+%29+
(2) +240+%2B+10+=+5%2A%28+60+-+10+%29+
(2) +250+=+5%2A50+
(2) +250+=+250+
OK
You can check (1)