A grocery store sells two brands of a product, the "house" brand and a "name" brand. The manager estimates that if she sells the "house" brand for x dollars and the "name" brand for y dollars, she will be able to sell 95 – 21x + 18y units of the "house" brand and 87 + 10x – 14y units of the "name" brand.

Q: Andy, Berlin and Cheryl had a total of 6750 stamps. At first, Andy have 50% of his stamps to Berlin.…

A:

Q: Jay-R manufactures lemon-flavored soft drink called Lemona by combining lemon soda and lemon juice.…

A: Jay-R manufactures lemon-flavored soft drink called Lemona by combining lemon soda and lemon juice.…

Q: A theater owner wants to divide a 4500 seat theater into three sections, with tickets costing $30,…

A: Let's define the variables as follows: x = number of $30 seatsy = number of $50 seatsz = number of…

Q: A candy maker is deciding how many bags of standard mix and deluxe mix of Peanut/Raisin Delight to…

A: Let x and y denote the number of bags of standard and deluxe mix.

Q: An online store sells old video games and DVDs as a bundle. A bundle of two video games and three…

A: See this solution in below.

Q: A sporting goods store sells footballs, basketballs, and volleyballs. A football costs $7, a…

A:

Q: A theater in Chicago sells balcony, lower box, and floor tickets to its patrons. A sold-out…

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Q: Juan Pablo runs a factory that makes Blu-ray players. Each T50 takes 6 ounces of plastic and 4…

A:

Q: Devin runs a factory that makes Blu-ray players. Each R80 takes 9 ounces of plastic and 2 ounces of…

A:

Q: The Dogs and Drinks vendor sells three different kinds of foot-long hot dogs. Plain dogs sell for…

A: Let's define the variables as follows:x = the number of plain dogs soldy = the number of kraut dogs…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.