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Question

The Huntville Howlers hockey team set a new record! They scored twice as many goals in the first period as in the second period. They scored 5 more goals in the second period than in the third period. And in the third period, They scored 1/8 as many goals as they scored in overtime. in overtime, the Howlers found the net 72 times! How many goals did they score in all?

Answer 1

The only known number of goals was scored in overtime, i.e., 72 goals. In the third period 1/8 of this number of goals was scored, so 9 goals were scored on the third period. But this is 5 fewer than was scored in the second period, so 14 goals must have been scored in the second period. Twice as many were scored in the first period, i.e., 28. So in all we have 72+9+14+28=123 goals.