Home › NY Regents Algebra I › Mathematics › Solving Linear Equations and Inequalities › Denae bought 6 pounds of grapes for $10.74. What…
Denae bought 6 pounds of grapes for $10.74. What was the cost of one pound of grapes?
A$1.69
B$1.79
C$1.89
D$64.44
Answer & Solution
Correct answer: B. $1.79
1. Let c represent the cost of one pound of grapes.
2. Translate into an equation: 6 times c equals 10.74.
3. Divide both sides by 6 to isolate c.
4. Simplify: c equals 1.79, and checking confirms 6 times $1.79 equals $10.74.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.2 Solve Equations using the Division and Multiplication Properties of Equality_
Related questions
Solve for x: 7 = (1/2)x + (3/4)x - (2/3)x.Classify the equation 12c + 5(5 + 3c) = 3(9c - 4) and state its solution.Solve for x: 2.8x + 12 = -1.4x - 9.Solve for q: 8q - 5 = -4q + 7.Solve for x: 3x + 4 = -8.A gardener planted 14 flats of flowers, filling 2/3 of a garden. How many flats would fillThe annual property tax on a house is $1,800, calculated as 15/1000 of the assessed value.Solve for r: 0.04r = 52.60.