SOLUTION: A mid western music competition awarded 37 ribbons. The number of blue ribbons awarded was 1 less than the number of white ribbons. The number of red ribbons was 2 more th

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Question 1153378: A mid western music competition awarded 37 ribbons. The number of blue ribbons
awarded was 1 less than the number of white ribbons. The number of red ribbons was
2 more than the number of white ribbons. How many of each kind of ribbon was​
awarded? How many white ribbons were​ awarded? How many red? How many blue ribbons?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number of white ribbons
+x+%2B+2+ = number of red ribbons
+x+-+1+ = number of blue ribbons
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+x+%2B+%28+x+%2B+2+%29+%2B+%28+x+-+1+%29+=+37+
+2x+%2B+2+%2B+x+-+1+=+37+
+3x+%2B+1+=+37+
+3x+=+36+
+x+=+12+
and
+x+%2B+2+=+14+
+x+-+1+=+11+
--------------------
12 white ribbons
14 red ribbons
11 blue ribbons
--------------------
check:
+12+%2B+14+%2B+11+=+37+
+37+=+37+
OK