SOLUTION: You and a classmate have a bug collection for science class. You find 5 out of every 9 bugs in the collection. You find 4 more bugs than your classmate. How many bugs are in the

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: You and a classmate have a bug collection for science class. You find 5 out of every 9 bugs in the collection. You find 4 more bugs than your classmate. How many bugs are in the       Log On


   

Question 1065603: You and a classmate have a bug collection for science class. You find 5 out of every 9 bugs in the collection. You find 4 more bugs than your classmate. How many bugs are in the collection?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = total number of bugs in collection
+%28+5%2F9+%29%2An+=+%28+4%2F9+%29%2An+%2B+4+
+%28+5%2F9+%29%2An+-+%28+4%2F9+%29%2An+=+4+
+%28+1%2F9+%29%2An+=+4+
+n+=+36+
There are 36 bugs in the collection
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check:
+%28+5%2F9+%29%2An+=+%28+5%2F9+%29%2A36+
+%28+5%2F9+%29%2An+=+20+
and
+%28+4%2F9+%29%2An+=+%28+4%2F9+%29%2A36+
+%28+4%2F9+%29%2An+=+16+
----------------------
+20+=+16+%2B+4+
OK