Aaron had 660 more stickers than game cards. After he had given away half of his stickers, he had 290 fewer stickers than game cards. How many stickers did he have at first?
660 - 370 = 290
So I think it was 370! Hope this helps and have a great day!
s = g + 660
s/2 = g - 290 so s = 2 g - 580
2 g - 580 = g + 660
g = 1240
s = 1240 + 660 = 1900
To solve this problem, we can set up a system of equations.
Let's say the number of stickers Aaron had at first is s, and the number of game cards he had at first is c.
According to the problem, Aaron had 660 more stickers than game cards. This can be expressed as:
s = c + 660 (Equation 1)
After Aaron gave away half of his stickers, he had 290 fewer stickers than game cards. This can be expressed as:
s/2 = c - 290 (Equation 2)
Now, we have a system of equations with two variables (s and c). To solve this system, we'll use substitution.
From Equation 1, we can rearrange it to express c in terms of s:
c = s - 660
Now, substitute this expression for c in Equation 2:
s/2 = (s - 660) - 290
Simplify the equation:
s/2 = s - 950
Multiply both sides of the equation by 2 to get rid of the fraction:
s = 2s - 1900
Move all terms containing s to one side of the equation:
s - 2s = -1900
Combine like terms:
-1s = -1900
Divide both sides of the equation by -1:
s = 1900
So, Aaron had 1900 stickers at first.