Digital camera memory card is 1/4 full. Card is 2/3 full when 375 more pictures have been taken. How many pictures can memory card hold? How pictures were originally on memory card?
number of pictures it can hold --- x
(1/4)x + 375 = (2/3)x
times 12
3x + 4500 = 8x
5x = 4500
x = 900
so originally we had (1/4)900 = 225 pictures
485
thanks
To solve this problem, let's assume the total number of pictures the memory card can hold is "x".
We are given that the memory card is 1/4 full initially, which means it contains 1/4 of "x" pictures. Therefore, the number of pictures originally on the memory card is (1/4) * x.
We are also given that the memory card is 2/3 full when 375 more pictures have been taken. This means that 2/3 of "x" pictures are equal to (1/4) * x + 375.
Now, we can set up an equation to solve for "x".
(2/3) * x = (1/4) * x + 375
To solve this equation, let's first get rid of the fractions by multiplying both sides of the equation by 12.
12 * (2/3) * x = 12 * ((1/4) * x + 375)
Simplifying:
8x = 3x + 4500
Next, let's isolate the variable "x" by subtracting 3x from both sides of the equation:
8x - 3x = 4500
5x = 4500
Finally, divide both sides of the equation by 5 to solve for "x":
x = 900
So, the memory card can hold 900 pictures, and there were originally (1/4) * 900 = 225 pictures on the memory card.