Question

The data for Shawn's phone has 32000 megabytes if storage for photos . She wants to increase the amount by 4% if each photo uses 5 megabytes will she have enough new memory for 200 additional photos?

Answer 1

Yes, she will have have enough new memory for 200 additional photos.

Explanation:

Given:

Initial memory for storage,
`M_(o)=32000\textrm{ megabytes}`

Increase in memory
`=4%`

Therefore, increase in memory,
`\Delta M=(4)/(100)* 32000=1280\textrm{ megabytes}`

Now, memory consumed by 1 photo = 5 megabytes

So, memory consumed by 200 additional photos =
`200* 5=1000\textrm{ megabytes}`

Memory left in her phone = 1280 - 1000 = 280 megabytes

Therefore, she will have additional 280 megabytes of memory left in her phone.

As memory consumed by 200 additional photos is less than that of the increase in memory, therefore, she does have enough new memory for 200 additional photos.