Last year's computer model is on sale for $799. You can add more memory to the computer. Each chip of 8 megabytes of memory costs $25. How many megabytes of memory can you add if you have at most $1,000 to spend.
Money left after buying computer
= 1000-799
= $201
Number of 8-MB chips $201 can buy
= $201/25
= 8 chips.
Total memory upgrade
= 8*8Mb
= 64 Mb.
Note: assumes no tax payable
AT MOST signifies that you must write and inequality to solve this problem. AT MOST signifies to write the symbol "less than or equal to". <
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First write down what you know:
- You will spend $1,000 at most
- The computer's initial cost is $799
- Each chip contains 8 megabytes (MB)
- Each chips costs $25
- $1,000 - $799 will give you how much money you will have left over
Now let's solve:
Let x represent the amount of megabytes you can add
$1,000 - $799 (gives you the amount of money you have left over to buy extra memory) = $201
$201/$25 (gives you the number of chips you can buy) = 8
8(8) (gives you the number of megabytes you can buy - the answer!! ;D) = 64
The inequality with steps:
1,000 - 799
8( -------------- ) < x
25 ---
201
8( -------------- ) < x
25 ---
8(8) < x
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64 < x
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To determine how many megabytes of memory you can add, you first need to calculate how much money you have left after purchasing the computer model:
Amount spent on computer model = $799
Amount left to spend = $1,000 - $799 = $201
Next, you need to find out how many memory chips you can purchase with the remaining budget:
Cost per memory chip = $25
Number of memory chips you can purchase = Amount left to spend / Cost per memory chip
Number of memory chips you can purchase = $201 / $25 = 8
Finally, you need to calculate the total megabytes of memory you can add:
Megabytes per memory chip = 8 megabytes
Total megabytes of memory you can add = Number of memory chips you can purchase * Megabytes per memory chip
Total megabytes of memory you can add = 8 * 8 megabytes = 64 megabytes
Therefore, you can add a maximum of 64 megabytes of memory to your computer.
To calculate the number of megabytes of memory that can be added, we need to determine the maximum number of chips that can be purchased using the given budget.
Step 1: Determine the cost of a single chip of memory
Each chip of 8 megabytes (MB) of memory costs $25.
Step 2: Calculate the maximum number of chips that can be purchased
To find this, divide the total budget by the cost of a single chip.
Maximum number of chips = Total budget / Cost of a single chip
Total budget = $1,000
Cost of a single chip = $25
Maximum number of chips = $1,000 / $25 = 40 chips
Step 3: Calculate the maximum memory that can be added
Since each chip has 8 megabytes of memory, multiply the maximum number of chips by 8 to get the maximum memory that can be added.
Maximum memory = Maximum number of chips * 8 MB/chip
Maximum number of chips = 40 chips
Maximum memory = 40 chips * 8 MB/chip = 320 MB
Therefore, if you have at most $1,000 to spend, you can add a maximum of 320 megabytes of memory to the computer.