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Question
oakwood elementary fall carnival gets bigger every year! last year, they had 70 volunteers working 14 booths. this year, they want to have 42 booths. if they use the same ratio of volunteers to booths, how many volunteers does oakwood elementary need this year? volunteers
Step1: Calculate last - year's ratio
Let the ratio of volunteers to booths last year be $r$. We know that last year, there were 70 volunteers and 14 booths. So $r=\frac{70}{14} = 5$.
Step2: Find this - year's number of volunteers
This year, there are 42 booths. Since the ratio $r = 5$ remains the same, the number of volunteers $v$ this year is $v=r\times42$. Substituting $r = 5$ into the equation, we get $v=5\times42=210$.
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210