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.
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
To find out how many marbles Andy started with, we need to work backwards from the information given. Let's follow the steps:
1. Andy had 2 marbles when he arrived at the tournament.
2. Just before arriving at the tournament, he gave Emily half of the marbles he had left.
3. So, the number of marbles Andy had before giving half to Emily can be calculated by doubling the number of marbles he had when he arrived (2 marbles).
-> 2 x 2 = 4 marbles
4. Before meeting Emily, Andy gave Alex 1/4 of his remaining marbles plus 5. We can work backwards to find the number of marbles he had before giving any to Alex:
-> Let x be the number of marbles Andy had before he gave any to Alex.
-> After giving 1/4 of his remaining marbles plus 5 to Alex, Andy had 4 marbles.
-> So, x - (1/4)x - 5 = 4
-> Simplifying, we get (3/4)x - 5 = 4
-> (3/4)x = 4 + 5
-> (3/4)x = 9
-> Multiplying both sides by (4/3), we get x = 12 marbles
5. Before meeting Alex, Andy gave Bob half of his marbles plus 2. We can work backwards to find the number of marbles Andy had before giving any to Bob:
-> Let y be the number of marbles Andy had before he gave any to Bob.
-> After giving 1/2 of his marbles plus 2 to Bob, Andy had 12 marbles.
-> So, y - (1/2)y - 2 = 12
-> Simplifying, we get (1/2)y - 2 = 12
-> (1/2)y = 12 + 2
-> (1/2)y = 14
-> Multiplying both sides by 2, we get y = 28 marbles
Therefore, Andy started with 28 marbles.