Question

Nancy needs at least 1000 gigabytes of storage to take pictures and videos on her upcoming vacation. She
checks and finds that she has 105 GB available on her phone. She plans on buying additional memory
cards to get the rest of the storage she needs.
The cheapest memory cards she can find each hold 256 GB and cost $10. She wants spend as little
money as possible and still get the storage she needs.
Let C represent the number of memory cards that Nancy buys. 2)what is the least amount of money Nancy can spend to get the storage she needs?

Answer 1

Answer:

The answer to this question can be defined as follows:

In option 1, She buys 4 memory cards.

In option 2, The cost of memory is $40  

Step-by-step explanation:

Given:

Available space is = 105 GB

required space = 1000 GB

256 GB memory cost $10.

Find needed memory:

=  1000 GB - 105 GB

= 895 GB

∴ the available memory is 256 GB.

∵ 256 × 4 = 1024  GB

The total memory she have = 1024 + 105 = 1129 GB

And  she needs to buy 4 memory cards.

The cost of the four memory cards is= 4 ×10 =  $40.

Answer 2

Using proportions, it is found that the least  amount of money Nancy can spend to get the storage she needs is of $40.

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• This question is solved by proportions, using a rule of three.

• Nancy needs at least 1000 GB, but she only has 105 GB available. Thus, she needs to buy 1000 - 105 = 895 GB.
• The cheapest cards she can buy have 256 GB. How many of these cards she has to buy?

The rule of three is of:

1 card - 256 GB

x cards - 895 GB

Applying cross multiplication:

$256x = 895$

$x = \frac{895}{256}$

$x = 3.5$

Rounding, she has to buy 4 cards.

• Each card costs $10, thus, she has to spend $10 x 4 = $40.

A similar problem is given at https://brainly.com/question/17594062