A small wood carving company mailed 190 advertisements, some requiring 46c in postage and others requiring 64c in postage. If the total cost for the mailings was $98.20. how many mailings that require

To determine the number of mailings that require each postage rate, let's denote the number of mailings requiring 46c postage as 'x' and the number requiring 64c postage as 'y.' We can set up a system of equations based on the given information:

1. x + y = 190 (total number of mailings)

2. 46x + 64y = 98.20 (total cost for the mailings in cents)

Now, we can solve this system of equations. First, we can express 'x' from the first equation as 'x = 190 - y' and substitute it into the second equation:

46(190 - y) + 64y = 98.20

Expanding and simplifying:

8740 - 46y + 64y = 9820

Combine like terms:

18y = 9820 - 8740

18y = 1080

Now, divide by 18 to find the value of 'y':

y = 1080 / 18

y = 60

Now that we know the number of mailings requiring 64c postage, we can find 'x' using the first equation:

x = 190 - y

x = 190 - 60

x = 130

So, there are 130 mailings requiring 46c postage and 60 mailings requiring 64c postage.

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