To solve the problem, we need to determine how many blue tickets the student council should order based on the total number of tickets they plan to have and the number of golden tickets they are ordering.
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Golden tickets: The student council plans to order 1 roll of golden tickets, which contains 150 tickets.
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Total tickets planned: They plan to order a total of 1,550 tickets.
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Calculate the number of blue tickets needed: \[ \text{Total tickets} - \text{Golden tickets} = \text{Blue tickets} \] \[ 1550 - 150 = 1400 \] Thus, they need 1,400 blue tickets.
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Determine the number of rolls of blue tickets: Blue tickets come in rolls of 200 tickets each. To find out how many rolls they need, we divide the total number of blue tickets by the number of tickets per roll. \[ \text{Number of rolls} = \frac{\text{Blue tickets}}{\text{Tickets per roll}} = \frac{1400}{200} \] \[ \frac{1400}{200} = 7 \]
Therefore, the student council should order \( \boxed{7} \) rolls of blue tickets.