# SAT Math Multiple Choice Question 726: Answer and Explanation

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**Question: 726**

**6.** If the sum of *a*, *b*, and *c* is three times the sum of *a* and *b*, which of the following expresses the value of *a* in terms of *b* and *c*?

- A.
- B.
- C.
- D.

**Correct Answer:** A

**Explanation:**

**A**

**Algebra (word problems) EASY**

The sum of *a*, *b*, and *c* is three times the sum of *a* and *b*:

*a* + *b* + *c* = 3(*a* + *b*)

Distribute:

*a* + *b* + *c* = 3*a* + 3*b*

Subtract *a*:

*b* + *c* = 2*a* + 3*b*

Subtract 3*b*:

-2*b* + *c* = 2*a*

Divide by 2: