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Andy was on his way to a marble tournament when he met Bob. Andy's bag of marbles was heavy, so he gave Bob 1/2 of his marbles plus 2. Then he met Alex and gave him 1/4 of this remaining marbles plus 5. Just before arriving at the tournament he met Emily and have her 1/2 of the marbles he had left. When he got to to tournament he had 2 marbles. How many did he start with?

I believe 21
2 doubled is 4
4 + 5 is 9
a quarter of 9 is 3
3+9 is 12
12 plus two is fourteen and half of fourteen is 7
7 plus 14 is 21.

Andy has X-Marbles.
Gave Bob (X/2 + 2),
Bal. = X - (X/2 + 2) = X/2 - 2.

Gave Alex 1/4(X/2 - 2) + 5 = X/8 + 9/2,
Bal.=(X/2 - 2) - (X/8 + 9/2)=3X/8-13/2.

Gave Emily 1/2(3X/8 - 13/2) =
3X/16 -13/4.

Bal. = 3X/16 - 13/4.

3X/16 - 13/4 = 2,
Multiply both sides by 16:
3X - 52 = 32,
3X = 32 + 52,
3X = 84,

X = 84 / 3 = 28 Marbles.

2 1/2 =2 2/4
5 1/4
1/2 2/4
________________

8 1/4

I Think it is 21 Because:
2 doubled is 4
4 + 5 is 9
a quarter of 9 is 3
3+9 is 12
12 plus two is 14 and 1/2 of 14 is 7
7 + 14 is 21.