AlgebraMediumPrice of one item from two purchases
Algebra practice question
At a market, 5 apples and 3 pears cost $26, and an apple costs $2 more than a pear. What is the price, in dollars, of one pear?
Answer: 2
Let a pear cost p; an apple costs p + 2. Then 5(p + 2) + 3p = 26, so 8p + 10 = 26 and p = 2.
Common wrong answers
- If you answered 4
- 4 is the price of an apple.
- If you answered 4.5
- 4.5 comes from 8p = 36, adding 10 instead of subtracting.
- If you answered 3.25
- 3.25 comes from 8p = 26, forgetting the 10.
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.