To determine how many chairs will be put in storage, we first need to find the total number of chairs received from both orders and how many chairs will be distributed evenly among the 17 classrooms.
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Calculate the total number of chairs: \[ \text{Total chairs} = 180 + 204 = 384 \]
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Calculate the number of chairs each classroom will receive: \[ \text{Chairs per classroom} = \frac{384}{17} \]
Performing the division: \[ 384 \div 17 = 22.588 \ldots \] Since each classroom can only receive a whole number of chairs, we round down to 22 chairs per classroom.
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Calculate the total number of chairs distributed to the classrooms: \[ \text{Chairs distributed} = 22 \times 17 = 374 \]
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Calculate the number of extra chairs put in storage: \[ \text{Extra chairs} = \text{Total chairs} - \text{Chairs distributed} = 384 - 374 = 10 \]
Therefore, the number of chairs that will be put in storage as extra chairs is 10.