You manage a paint store that mixes three popular colors of paint: Superhero Gray, Bermuda Sand, and Earthy Beige. Each gallon of Superhero Gray begins with a white base and then mixes in 12 drops of red, 8 drops of green, and 15 drops of blue dye. Each gallon of Bermuda Sand begins with a white base and then mixes in 6 drops of red, 20 drops of green, and 10 drops of blue dye. Each gallon of Earthy Beige begins with a white base and then mixes in 11 drops of red, 19 drops of green, and 13 drops of blue dye. You have exactly 362 drops of red, 550 drops of green, and 475 drops of blue dye available. Define the variables, and set up the system of equations that is used to find the number of gallons of each popular color that can be made using up all of the available dye. (Do not solve.) A. x is the number of drops of red dye, y is the number of drops of green dye, and z is the number of drops of blue dye. 12x + 8y + 15z = 362 6x + 20y + 10z = 550 11x + 19y + 13z = 475 B. x is the number of drops of red dye, y is the number of drops of green dye, and z is the number of drops of blue dye. 12x + 6y + 11z = 362 8x + 20y + 19z = 550 15x + 10y + 13z = 475 C. x is the number of gallons of Superhero Gray, y is the number of gallons of Bermuda Sand, and z is the number of gallons of Earthy Beige. 12x + 6y + 11z = 362 8x + 20y + 19z = 550 15x + 10y + 13z = 475 D. x is the number of gallons of Superhero Gray, y is the number of gallons of Bermuda Sand, and z is the number of gallons of Earthy Beige. 12x + 8y + 15z = 362 6x + 20y + 10z = 550 11x + 19y + 13z = 475
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
You manage a paint store that mixes three popular colors of paint: Superhero Gray, Bermuda Sand, and Earthy Beige. Each gallon of Superhero Gray begins with a white base and then mixes in 12 drops of red, 8 drops of green, and 15 drops of blue dye. Each gallon of Bermuda Sand begins with a white base and then mixes in 6 drops of red, 20 drops of green, and 10 drops of blue dye. Each gallon of Earthy Beige begins with a white base and then mixes in 11 drops of red, 19 drops of green, and 13 drops of blue dye. You have exactly 362 drops of red, 550 drops of green, and 475 drops of blue dye available. Define the variables, and set up the system of equations that is used to find the number of gallons of each popular color that can be made using up all of the available dye. (Do not solve.)
- A.
x is the number of drops of red dye, y is the number of drops of green dye, and z is the number of drops of blue dye.
12x + 8y + 15z = 362
6x + 20y + 10z = 550
11x + 19y + 13z = 475
- B.
x is the number of drops of red dye, y is the number of drops of green dye, and z is the number of drops of blue dye.
12x + 6y + 11z = 362
8x + 20y + 19z = 550
15x + 10y + 13z = 475
- C.
x is the number of gallons of Superhero Gray, y is the number of gallons of Bermuda Sand, and z is the number of gallons of Earthy Beige.
12x + 6y + 11z = 362
8x + 20y + 19z = 550
15x + 10y + 13z = 475
- D.
x is the number of gallons of Superhero Gray, y is the number of gallons of Bermuda Sand, and z is the number of gallons of Earthy Beige.
12x + 8y + 15z = 362
6x + 20y + 10z = 550
11x + 19y + 13z = 475
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
