Solve the problem.Joely's Tea Shop, a store that specializes in tea blends, has available 45 pounds of A grade tea and 70 pounds of B grade tea. These will be blended into 1 pound packages as follows: A breakfast blend that contains one third of a pound of A grade tea and two thirds of a pound of B grade tea and an afternoon tea that contains one half pound of A grade tea and one half pound of B grade tea. If Joely makes a profit of $1.50 on each pound of the breakfast blend and $2.00 profit on each pound of the afternoon blend, how many pounds of each blend should she make to maximize profits? What is the maximum profit?
What will be an ideal response?
75 packages of the breakfast blend, 40 packages of the afternoon blend; maximum profit $192.50
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Solve the problem.Eric's Carpentry manufactures two types of bookshelves that are 4 feet tall and 3 feet wide, a basic model and a deluxe model. Each basic bookshelf requires 1.5 hours for assembly and 1 hour for finishing; each deluxe model requires 2.5 hours for assembly and 1 hour for finishing. Two assemblers and one finisher are employed by the company, and each works 40 hours per week. Eric can sell more basic models than deluxe models, so he wants the number of basic models produced to be 50% more than the number of deluxe models produced. If he makes $50 profit on the basic models and $65 profit on the deluxe models, how many should he make to maximize the profit? What is the maximum profit?
What will be an ideal response?
Write the word statement as an equation. Use x to represent the unknown number. Do not solve.The difference between the sum of 6 times a number and 4 and 3 times the number results in the number increased by 10.
A. (6x + 4) + 3x = x - 10 B. (6x + 4) - 3x = x + 10 C. 6(x - 4) - 3x = x - 10 D. 6x - (4 - 3x) = x + 10
Solve the problem.An exam consists of 9 multiple-choice questions and 6 essay questions. If the student must answer 7 of the multiple-choice questions and 4 of the essay questions, in how many ways can the questions be chosen?
A. 540 B. 65,318,400 C. 1512 D. 261,273,600
Find an equation in slope-intercept form (where possible) for the line.Through (-1, 6), m = 2.5
A. y = 2.5x + 3.5 B. y = -2.5x + 3.5 C. y = 2.5x + 8.5 D. y = -2.5x + 8.5