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Hi Aaron,

A total of 552 stars and smiley faces were used so the number of smiley faces MUST BE LESS THAN 552.   So it can only be 360.    864 > 552.

However, it can be calculated as well.

For the stars and smiley faces to meet exactly,  4 x 9 = 36 and 12 x 3 = 36 

This means 4 sets of  2 stars = 8 stars and 3 sets of 5 smiley faces = 15

8+15 = 23

552 / 23 = 24 sets of 8 stars and 15 smiley faces

So total smiley faces = 24 x 15 = 360

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thank you so much. the answer key’s answer was 864. didnt see that the answer cannot be more than 552 at first. 

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Welcome! 🙂  

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