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In the equation above, if a, b, and c are all constants, what is c?
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SAT Math 3.6 Numbers and Operations 208 Views
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SAT Math 3.6 Numbers and Operations
Transcript
- 00:02
Put this in your calculator and shmoop it...
- 00:05
If a + b = 12, b + c = 17, and a + c = 9, what is the value of a + b + c?
- 00:14
And here are the potential answers...
- 00:18
If we push our way through the annoying crowd of variables...
- 00:21
...we'll find that what this question is actually asking
Full Transcript
- 00:24
is just for us to sum a, b, and c.
- 00:28
What if... we add up all three of the equations that are given to us?
- 00:32
In that case, we get a + b + b + c + a + c equals 12 + 17 + 9.
- 00:42
And if we combine all like terms...we get 2a + 2b + 2c equals 38.
- 00:52
Next, we can distribute the 2 to make the equation 2 times the quantity a + b + c... equals 38.
- 00:59
Divide both sides by 2, and our equation looks like this: a + b + c = 19.
- 01:04
Answer B.
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