Question

meyer has 0.64 GB of space remaining on his ipod.he wants to download a pedometer app (0.24 GB), a photo app (0.403 GB), and a math app (0.3 GB).which combinations of apps can he download? explain your thinking

Answer 1

He can either download both the pedometer and the math apps,
or he can download only the photo app and no more.

Pedometer + math = 0.54 GB.  Fits in 0.64 GB.

Photo = 0.403 GB.  Fits in 0.64 GB, but only 0.237 GB left.
                                Not enough for pedometer (0.24)
                                or math (0.3) .  

Answer 2

The possible combination in which the app can be downloaded in ipod is $\boxed{\text{pedometer app}+\text{math app}}$ or $\boxed{\text{Photo app}}$.

Further explanation:

The total memory space available in the ipod is $0.64\text{ GB}$.

The memory space required for the pedometer app is $0.24\text{ GB}$.

The memory space required for a photo app is $0.403\text{ GB}$.

The memory space required for a math app is $0.4\text{ GB}$.

As per teh question meyer wants to download the app as mentioned above in his ipod.

So, in order to download the app the most important point is that the total memory space available in the ipod should no be less than the memory space required for all the apps.

The objective is to determine the combination in which the different app can be stored in the ipod.

Consider three cases for the given question.

Case 1:

Consider that all the three apps are needed to be downloaded in the ipod.

If all the three apps are required to be downloaded then the total memory space required is calculated as follows:

$\boxed{0.24+0.403+0.3=0.943}$

As per the above calculation it is concluded that the all the three apps requires a memory space of $0.943\text{ GB}$.

Since, the total free memory space available in the ipod is $0.64\text{ GB}$ and $0.943>0.64$ so, this case is not possible.

Therefore, it is not possible to download all the three apps in ipod.

Case 2:

Consider that only pedometer app and a photo app is required to be downloaded.

The memory space required by pedometer app and a photo app is calculated as follows:

$\boxed{0.24+0.403=0.643}$

As per the above calculation it is concluded that the photo app and pedometer app requires a memory space of $0.643\text{ GB}$.

Since, the total free memory space available in the ipod is $0.64\text{ GB}$ and $0.643>0.64$ so, this case is not possible.

Therefore, it is not possible to download pedometer app and a photo app in ipod.

Case 3:

Consider that only pedometer app and a math app is required to be downloaded.

The memory space required by pedometer app and a math app is calculated as follows:

$\boxed{0.24+0.3=0.54}$

As per the above calculation it is concluded that a math app and a pedometer app requires a memory space of $0.54\text{ GB}$.

Since, the total free memory space available in the ipod is $0.64\text{ GB}$ and $0.64>0.54$ so, this case is possible.

Therefore, it is possible to download pedometer app and a math app in ipod.

Case 4:

Consider that only a photo app and a math app is required to be downloaded.

The memory space required by math app and a photo app is calculated as follows:

$\boxed{0.3+0.403=0.703}$

As per the above calculation it is concluded that the photo app and pedometer app requires a memory space of $0.703\text{ GB}$.

Since, the total free memory space available in the ipod is $0.64\text{ GB}$ and $0.703>0.64$ so, this case is not possible.

Therefore, it is not possible to download math app and a photo app in ipod.

This implies that either meyer can download pedometer app and math app or only a photo app.

Thus, the possible combination in which the app can be downloaded in ipod is $\boxed{\text{pedometer app}+\text{math app}}$ or $\boxed{\text{Photo app}}$.

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Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Simplification

Keywords: Combination, simplification, meyer, memory, download, app, photo app, pedometer app, GB, 0.64, 0.24, math app, ipod.