Question

Helena uses a free online account to store digital photos and videos. She uploads 650 photo and video files from her phone to the account. The average size of each photo is 4 megabytes and the average size of each video is 9 megabytes. The total upload size was 2,925 megabytes. Which system of equations can be used to determine the number of photo files, p, and the number of video files, v, Helena uploaded from her phone?

Answer 1

p = 650 – v and 4p + 9v = 2,925 , Its B

Answer 2

System of equation:

`p+v = 650\\4p + 9v = 2925`

Explanation:

We are given the following information in the question:

Total number of photo and video uploads = 650

The average size of each photo = 4 megabytes

The average size of each video = 9 megabytes

The total upload size = 2,925 megabytes

Let p be the number of photo uploads and v be the number of video uploads.

Then, the equations can be written as:

`p+v = 650\\4p + 9v = 2925`

We have two equations in two variable. Solving the above equation:

`p =650-v\\4(650-v) + 9v = 2925\\5v = 325\\v = 65\\p = 585`

Thus, 585 photos and 65 videos were uploaded.