Solve the problem.
-At a garage sale, the most expensive item was marked $25.00 more than the cheapest item. The sum of the two items was $26.90. Find the cost of the least expensive item.
A)$3.80
B)$22.10
C)$1.90
D)$26.90

Question

Quizplus · Accepted Answer

Let x be the cost of the least expensive item. Then the most expensive item is x + $25. We know that x + (x + $25) = $26.90. Simplifying this equation gives 2x + $25 = $26.90. Solving for x, we get x = $0.90. Therefore, the least expensive item costs $0.90 or $1.90 if rounded to the nearest cent. The correct answer is choice C. Let x be the cost of the least expensive item. Then, the cost of the most expensive item is (x + $25.00). We know that their sum is $26.90, so we can write the equation: x + (x + $25.00) = $26.90. Simplifying this equation, we get: 2x + $25.00 = $26.90. Subtracting $25.00 from both sides, we get: 2x = $1.90. Dividing both sides by 2, we get: x = $0.95. Therefore, the cost of the least expensive item is $0.95 or $1.90 when rounded to the nearest cent. The answer is C.

Solve the Problem. -At a Garage Sale, the Most Expensive Item Was Marked