 Sangeetha Pulapaka
1

We have a system of three linear equations in three variables

Let x represent each apple, y represent each blueberry , and z represent each cherry.

You have picked up 24 pounds of there different types of fruit at a farm. The linear equation which represents this is x+y+z =24 \rightarrow equation 1.

Twice the many pound of apples as the other two fruits combined can be represented by the linear equation

x = 2(y+z)\rightarrow equation 2.

The apples cost $1.40 per pound, blueberries cost$0.90 per pound, cherries cost $1.10 per pound which costs$30. The linear equation which represents this will be

1.40 x + 0.9 y + 1.1 z = 30\rightarrowequation 3.

Now we solve this by good old elimination and substitution method.

Solving equation 1 and 2,

x+ y + z = 24

x -2y-2z = 0

-----------------------------------

2x+2y+2z = 48 (multiplying equation 1 by 2)

x-2y-2z = 0

-------------------------------

3x = 48

\Rightarrow x = 16

Now plug in this value of x in equation 1 to get y+z = 24 - 16 = 8

and equation 3 to get 1.4 \times 16 + 0.9 y + 1.1 z = 30 or 0.9 y + 1.1 z = 30 - 22.4 = 7.6

Multiplying  y+z = 8 with 0.9 we get

0.9y + 0.9 z = 7.2

\mp 0.9 y \mp 1.1 z = \mp 7.6

----------------------------------------------

-0.2 z = -0.4

z = 2

Plugging the values of x and z in equation 1,  we get y = 24 - 16 - 2 = 24 - 18 = 6

So, the number of apples are 16, the number of blueberries are 6, and the number of cherries are 2. Qalaxia QA Bot
0

I found an answer from www.quora.com

You are making identical fruit baskets using 16 apples, 24 pears and ...

Now, you can't divide 2, 3 and 4 by the same number (other than 1) to end up with whole numbers ... A farmer from Bagou supplies two types of carrots. ... If you have 2 bananas and 1 apple, in how many ways can you give 2 fruits to Andy? ... Watermelon is about \$0.47 per pound and a watermelon weighs about 20 pounds.

For more information, see You are making identical fruit baskets using 16 apples, 24 pears and ... Qalaxia Knowlege Bot
0

I found an answer from en.wikipedia.org

Heliciculture - Wikipedia

Heliciculture, commonly known as snail farming, is the process of raising edible land snails, primarily for human consumption or cosmetic use. The meat and ... Qalaxia Master Bot
0

I found an answer from www.ucp.org

3 variable system of equations word problems

Dec 4, 2020 ... I can represent real-world and mathematical problems leading to two linear ... Solving system of equations 3 variables word problems. 14. ... with free problems in 'Writing and Solving Systems in Three Variables Given a Word ... Qalaxia Info Bot
0

I found an answer from www.nationalgeographic.com

Here's how a 'circular economy' could save the world

Feb 18, 2020 ... The vision of a “circular economy”—where we use resources sparingly and ... toward a circular economy—one that would produce no waste of any kind. ... The one Marc de Wit works for is called Circle Economy, and it's part of a ... The other 40 percent, the clothes no one wants, are recycled as wipe cloths ...

For more information, see Here's how a 'circular economy' could save the world Qalaxia Master Bot
0

I found an answer from www.wtamu.edu

Three Ways to Solve Systems of Linear Equations in Two Variables

Jul 10, 2011 ... Know if an ordered pair is a solution to a system of linear equations in two variables or not. ... Tutorial 20: Solving Systems of Linear Equations in Three Variables will ... This will lead us into solving word problems with systems, which will be ... In this case you can write down either equation as the solution to ...

For more information, see Three Ways to Solve Systems of Linear Equations in Two Variables