SOLUTION: Hi can anyone please help with this question. In a soccer match between the caribou college and the Dear Dojo, the Caribou College had scored all of the goals by half time. In t

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: Hi can anyone please help with this question. In a soccer match between the caribou college and the Dear Dojo, the Caribou College had scored all of the goals by half time. In t      Log On


   

Question 1155780: Hi can anyone please help with this question.
In a soccer match between the caribou college and the Dear Dojo, the Caribou College had scored all of the goals by half time. In the second half, each team scored 3 goals. At the end of the match, Caribou college had scored 90% of the goals. what fraction of the goals in the match were scored during the second half?
Thanks in advance
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number of goals Caribou scored
in the 1st half
+x+%2B+3+ = number of goals Caribou scored total
+3+ = total score for D.D.
+%28+x+%2B+3+%29%2F+%28+x+%2B+6+%29+=+.9+
+x+%2B+3+=+.9%2A%28+x+%2B+6+%29+
+x+%2B+3+=+.9x+%2B+5.4+
+.1x+%2B+3+=+5.4+
+.1x+=+2.4+
+x+=+24+
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check:
+%28+24+%2B+3+%29+%2F+%28+24+%2B+6+%29+=+.9+
+27+%2F+30+=+.9+
+27+=+27+
OK
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In the 2nd half:
+%28+3+%2B+3+%29+%2F+%28+24+%2B+6+%29+=+6+%2F+30+
+6%2F30+=+1%2F5+
+1%2F5+=+.2+
20% of the goals were scored in the 2nd half
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Get a 2nd opinion if needed