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.