1. In the first picture, we call the number of shells on the beach is a
We have: (a x 7 - 7) x 9 : 2 = 1953
=> (a x 7 - 7) x 9 = 1953 x 2
=> (a x 7 - 7) x 9 = 3906
=> a x 7 - 7 = 3906 : 9
=> a x 7 - 7 = 434
=> a x 7 = 434 + 7
=> a x 7 = 441
=> a = 441 : 7
=> a = 63
So you collected 63 shells.
2. In the second picture, we call the number of flags is b
We have: (b x 26 + 132) x 4 : 10 = 344
=> (b x 26 + 132) x 4 = 344 x 10
=> (b x 26 + 132) x 4 = 3440
=> b x 26 + 132 = 3440 : 4
=> b x 26 + 132 = 860
=> b x 26 = 860 - 132
=> b x 26 = 728
=> b = 728 : 26
=> b = 28
So you used 28 flags to decorate your sandcastle
3. In the third picture, we call the number of cartwheels is c
We have: (c x 38 - 83) x 100 : 4 = 19 775
=> (c x 38 - 83) x 100 = 19 775 x 4
=> (c x 38 - 83) x 100 = 79 100
=> c x 38 - 83 = 79 100 : 100
=> c x 38 - 83 = 791
=> c x 38 = 791 + 83
=> c x 38 = 874
=> c = 874 : 38
=> c = 23
So you did 23 cartwheels on the sand.
This is my answer for the Summer Number Puzzles, Thanks for reading!
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