Answer:
17 = 13 cent stamps
9 = 22 cent stamps
Step-by-step explanation:
Here is what we know:
a = 13 cent stamps
b = 22 cent stamps
Total stamps: 26
Total cost $4.19
Now we make equations based on what we know.
a + b = 26
13a + 22b = 419
Now we have to change the first equation so we can solve for the second. To do this, we have to find a similar factor for one of the variables. Let's change a.
Multiply the first equation by 13
13(a + b) = 13(26)
13a + 13b = 338
Now we put the two equations together and subtract. (Don't forget to change all the signs when you subtract)
13a + 22b = 419
- 13a - 13b = - 338
= 0 + 9b = 81
Solve for b.
9b = 81
b = 9
Plug b into the first equation to get a.
a + b = 26
a + 9 = 26
a = 17
17 = 13 cent stamps
9 = 22 cent stamps
You are done!
Hope this helped! :)
The number of each type of spend should be
17 = 13 cent stamps
9 = 22 cent stamps
Given that,
Based on the above information, the calculation is as follows:
a + b = 26
13a + 22b = 419
Multiply the first equation by 13
13(a + b) = 13(26)
13a + 13b = 338
13a + 22b = 419
0 + 9b = 81
9b = 81
b = 9
Plug b into the first equation to get a.
a + b = 26
a + 9 = 26
a = 17
So,
17 = 13 cent stamps
9 = 22 cent stamps
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