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Question
3 scale up or scale down to determine each unknown quantity.
a) \\(\frac{2\text{ teachers}}{26\text{ students}} = \frac{8\text{ teachers}}{?}\\)
Step1: Identify the scaling factor
We see that 2 teachers scale up to 8 teachers. To find the scaling factor, we divide the new number of teachers by the original: $8 \div 2 = 4$. So the scaling factor is 4.
Step2: Apply the scaling factor to students
Since we scale the teachers by 4, we also scale the students by 4. The original number of students is 26, so we calculate $26 \times 4$.
$26 \times 4 = 104$
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104