Students in Groups

Algebra Level pending

Teachers divided students into groups of 3. Each group of 3 wrote a report that had 9 pictures in it. The students used 585 pictures altogether. How many students were there in all ?

195 210 200 190 205

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2 solutions

Tom Engelsman
Mar 4, 2021

Taking N N students in the class, we have:

N 3 9 = 585 3 N = 585 N = 195 . \frac{N}{3} \cdot 9 = 585 \Rightarrow 3N = 585 \Rightarrow \boxed{N=195}.

Using T o t a l \mathcal Total P i c t u r e s \mathcal Pictures ÷ \div P i c t u r e s \mathcal Pictures P e r \mathcal Per G r o u p \mathcal Group × \times S t u d e n t s \mathcal Students P e r \mathcal Per G r o u p \mathcal Group = = N u m b e r \mathcal Number O f \mathcal Of S t u d e n t s \mathcal Students :

3 585 9 \frac{585}{9} = 195 195

There were 195 \boxed{195} students in all

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