Roxanna has a collection of silver spoons from all over the world. - If the spoons are arranged in sets of 7, there are 5 left over.
- If the spoons are arranged in sets of 8, there is 1 left over.
- If the spoons are arranged in sets of 15, there are 14 left over.

If she has at least 50 spoons, what is the smallest possible number of spoons in her collection?

1. 128 (vertical angles are equal to each other)
2. 55 (the sum of the angles has to be 90 degrees because is perpendicular 55+35=90)
3. 2x+1=75
-1 -1
2x=74
2 2
X=37
(Vertical lines equal to each other that’s why I did this 2x+1=75)

5. 76 (because perpendicular and has to add 90 degrees 76+14=90)

6. 63 ( because a straight line = 180 degrees
117+63=180)
7. 21 ( because is perpendicular and has to add 90 degrees 69+21=90)

8. 49 (because is perpendicular and has to add 90 degrees 49+41=90)

9. 5x+110=180
-110 -110
5x=70
5 5
X=14
(Because straight line has to add to 180 degrees that’s why I did this 5x+110=180)

10. 53 (because straight line has to add to 180 degrees 127+53=180)

Hope that helps and you understand now :)