Daniel gave 4/5 of his stickers to Javier. Javier’s collection of stickers increased to 64. If Javier had 28 stickers in the beginning, how many stickers did Daniel have in the beinging?
can u please show the work and explain how u got it...so i could undersatnd thank you!!
Javier:
64 - 28 = 36
Daniel gave Javier 36 stickers.
Daniel:
4/5x = 36
x = 36 / (4/5)
x = 36 * (5/4)
x = 180/4
x = 45
Daniel started with 45.
Please ignore "Um's" answer; it is incorrect. I am a professor of applied physics at MIT (Massachusetts Institute of Technology.) I often like to use this problem for my advanced students, because it offers a valuable lesson that helps them grasp the concepts of relativity, and especially derivatives. The correct answer is: d=45.
64 - 28 = 36 sticker increase
Let d = daniel's original sticker amount
4/5 D = 36
d = 45
Sure, let's break down the problem step by step.
Let's assume that Daniel had "x" stickers in the beginning.
We are given that Javier had 28 stickers in the beginning and Daniel gave him 4/5 of his stickers, which increased Javier's collection to 64.
To find out how many stickers Daniel had in the beginning, we can set up the equation:
x - (4/5)x = 64 - 28
Simplifying the equation, we have:
(1/5)x = 36
To isolate the variable x, we multiply both sides of the equation by 5:
x = 36 * 5
x = 180
Therefore, Daniel had 180 stickers in the beginning.
To find out how many stickers Daniel had at the beginning, let's break down the information step by step:
1. We know that Javier's collection of stickers increased to 64 after receiving 4/5 of Daniel's stickers.
2. If Javier had 28 stickers in the beginning and his collection increased by 4/5 of Daniel's stickers, we can set up the equation:
28 + (4/5)D = 64
Here, D represents the number of stickers Daniel had in the beginning.
3. To solve for D, we need to isolate it on one side of the equation. We can do this by subtracting 28 from both sides:
(4/5)D = 64 - 28
Simplifying the right side of the equation gives:
(4/5)D = 36
4. To eliminate the fraction, we can multiply both sides of the equation by the reciprocal of the coefficient of D, which in this case is 5/4:
(5/4) * (4/5)D = (5/4) * 36
Simplifying the left side and right side gives:
D = 45
Therefore, Daniel had 45 stickers at the beginning.
If Daniel gives Javier 4/5 of his stickers and Javier's collection increases by 64, Daniel gave him 64 stickers.
If 4/5 of Daniel's original stickers is 64:
4/5= 64 stickers
64/4= 16 so 1/5= 16
16•5= 80 so 5/5= 80
Daniel had 80 stickers in the beginning.