AlgebraMediumSharing money with a described relationship
Algebra practice question
Amir and Bea share $150. Amir's share is $30 more than twice Bea's share. How much, in dollars, is Bea's share?
Answer: 40
a = 2b + 30 and a + b = 150 → 3b + 30 = 150 → b = 40 (Amir gets 110).
Common wrong answers
- If you answered 50
- 50 assumes Amir's share is simply twice Bea's.
- If you answered 60
- 60 comes from 3b − 30 = 150, subtracting the 30 instead of adding it.
- If you answered 110
- 110 is Amir's share.
More Algebra questions
- Medium
A system: 2x + y = 11 and x − y = 1. What is the value of x + y? - Medium
Which of the following describes all solutions to 4x − 9 ≤ 2x + 5? - Medium
A phone's battery percentage is modeled by P = 100 − 8t, where t is the number of hours since it was unplugged… - Medium
If y = 2x − 1 and 3x + y = 14, what is the value of x? - Medium
If |2x − 3| = 7, what is the sum of all possible values of x? - Medium
Line k has equation y = (2/3)x + 1. Which equation represents a line perpendicular to line k?
Not affiliated with the College Board. SAT is a trademark of the College Board.