100 Points
An advertising company charges $40 per half-page advertisement and $75 per full-page advertisement. Michael has a budget of $800 to purchase 13 advertisements

Write a system of equations

x + y = 13

40x + 75y = 800

Step-by-step explanation:

Let's say there are x half-page ads and y full-page ads. Since Michael can purchase 13 of these altogether, we have:

x + y = 13

We also know that a half-page ad is $40 and a full-page ad is $75, so:

40x + 75y = 800

Thus, the system of equations is:

x + y = 13

40x + 75y = 800

Step-by-step explanation:

Step 1:  Find the first equation

For the first equation, we need to find the total amount of advertisements.  So, let the half-pages be represented with an h and a full-page with an f.

Half-Page + Full-Page = 13 Total Amount

     h          +       f         =              13

Step 2:  Find the second equation

For the second equation, we need to find the total price of the advertisements.  We will attach the value of the half-page advertisements to h and we will attach the value of the full-page advertisements to f.

Half-Page Price    +    Full-Page Price    =    $800 Total Budget

     40h                  +            75f                =              800

Step 3:  Combine the two equation

h + f = 13

40h + 75f = 800

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