7th Grade Math
posted by dyl on .
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 XMarbles.
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/813/2.
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.
so 21 is the answer 
14÷2=7 7 +14=21 21×2=42 42×2=84 Answer:84 this isn't hard I'm 6 grade