Jacky and Rudy had the same number of stickers. After receiving 72 stickers from Rudy, Jacky had 3x as many stickers as her. How many stickers did they have altogether?
They each started out with x. So, together they had 2x stickers.
x+72 = 3(x-72)
x+72 = 3x-216
2x = 288
2X/2=288/21
X=44 ,Linear equation. :)
To solve this problem, let's break it down step by step.
Step 1: Let's assume the initial number of stickers both Jacky and Rudy had is "x".
Step 2: It is stated in the question that after receiving 72 stickers from Rudy, Jacky had 3 times as many stickers as her. This can be written as an equation:
(x + 72) = 3x
Step 3: To solve this equation, let's simplify it.
x + 72 = 3x
Step 4: We want to isolate the variable x, so let's subtract x from both sides of the equation.
72 = 3x - x
Step 5: Simplify the equation further.
72 = 2x
Step 6: To isolate x, divide both sides of the equation by 2.
72/2 = x
36 = x
Step 7: Now that we know the value of x is 36, we can find out the initial number of stickers both Jacky and Rudy had. Since the question states they had the same number of stickers, we can conclude that each had 36 stickers at the beginning.
Step 8: To find out the total number of stickers they had altogether, we add the number of stickers Jacky and Rudy had.
Total number of stickers = Jacky's stickers + Rudy's stickers
Total number of stickers = 36 + 36
Total number of stickers = 72
Therefore, Jacky and Rudy had a total of 72 stickers altogether.