Answer And Step-by-step explanation:
To find out how many pencils Fatima can buy while staying within her price range, let's consider the minimum and maximum amounts she plans to spend.
The minimum amount Fatima plans to spend is $15. If she buys 2 sketch pads, we need to subtract the cost of the sketch pads from the minimum amount to find out how much money she has left to spend on pencils.
Let's say each sketch pad costs $x. So, the cost of 2 sketch pads would be 2 * $x = $2x.
To stay within her price range, the remaining amount she can spend on pencils would be $15 - $2x.
Now, let's consider the maximum amount Fatima plans to spend, which is $20. Again, we subtract the cost of the sketch pads from the maximum amount to find out how much she has left for pencils.
Using the same logic, we have $20 - $2x.
Therefore, Fatima can buy a number of pencils that costs between $15 - $2x and $20 - $2x, depending on the cost of each pencil.
For example, if each pencil costs $2, we substitute this value into the equations:
Minimum: $15 - $2x = $15 - $2(2) = $15 - $4 = $11. This means Fatima can buy up to $11 worth of pencils.
Maximum: $20 - $2x = $20 - $2(2) = $20 - $4 = $16. This means Fatima can buy up to $16 worth of pencils.
So, the number of pencils Fatima can buy while staying within her price range depends on the cost of each pencil and can range from $11 to $16.