SOLUTION: A fruit seller had the same number of apples and pears. After selling 82 apples and 34 pears, 4 times as many pears as apples were left. How many apples and pears did the seller ha

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A fruit seller had the same number of apples and pears. After selling 82 apples and 34 pears, 4 times as many pears as apples were left. How many apples and pears did the seller ha      Log On


   

Question 804202: A fruit seller had the same number of apples and pears. After selling 82 apples and 34 pears, 4 times as many pears as apples were left. How many apples and pears did the seller have to begin with?
Found 2 solutions by richwmiller, josmiceli:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a=p,
4*(a-82)=p-34
a = 98, p = 98
98 of each
check
4*(98-82)=98-34
4*16=64
64=64
ok

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number of apples seller started with
Let +x+ = number of pears seller started with
---------------
After selling, seller has left:
+x+-+82+ apples
+x+-+34+ pears
and
+x+-+34+=+4%2A%28+x+-+82+%29+
+x+-+34+=+4x+-+328+
+3x+=+328+-+34+
+3x+=+294+
+x+=+98+
Seller had 98 apples and 98 pears to start with
check:
+x+-+34+=+4%2A%28+x+-+82+%29+
+98+-+34+=+4%2A%28+98+-+82+%29+
+64+=+4%2A16+
+64+=+64+
OK