Let x represent pounds of Gazebo coffee and y represent pounds of Kona coffee.
We are told that a coffee distributor wants 70 pounds of coffee. We can represent this information in an equation as:
![x+y=70...(1)](https://tex.z-dn.net/?f=x%2By%3D70...%281%29)
![y=70-x...(1)](https://tex.z-dn.net/?f=y%3D70-x...%281%29)
We have been given that Gazebo coffee blend sells for $10.20 per pound, so cost of x pounds of Gazebo coffee would be
.
Kona coffee blend sells for $12.20 per pound, so cost of y pounds of Kona coffee would be
.
Cost of 70 pounds of a coffee that can sell for $10.91 per pound would be
.
![10.20x+12.20y=70(10.91)...(2)](https://tex.z-dn.net/?f=10.20x%2B12.20y%3D70%2810.91%29...%282%29)
Upon substituting equation (1) in equation (2), we will get:
![10.20x+854-12.20x=763.7](https://tex.z-dn.net/?f=10.20x%2B854-12.20x%3D763.7)
![-2x+854=763.7](https://tex.z-dn.net/?f=-2x%2B854%3D763.7)
![-2x+854-854=763.7-854](https://tex.z-dn.net/?f=-2x%2B854-854%3D763.7-854)
![-2x=-90.3](https://tex.z-dn.net/?f=-2x%3D-90.3)
![\frac{-2x}{-2}=\frac{-90.3}{-2}](https://tex.z-dn.net/?f=%5Cfrac%7B-2x%7D%7B-2%7D%3D%5Cfrac%7B-90.3%7D%7B-2%7D)
![x=45.15](https://tex.z-dn.net/?f=x%3D45.15)
Therefore, distributor should use 45.15 pounds of Gazebo coffee.
Upon substituting
in equation (1), we will get:
![y=70-14.15=24.85](https://tex.z-dn.net/?f=y%3D70-14.15%3D24.85)
Therefore, distributor should use 24.85 pounds of Kona coffee.
Answer:
i kinda like ixl but the answer is yes
Step-by-step explanation:
In this question there are numerous information's that are given for getting the required answer. The most important of those informations is that the crew of workers required 20 minutes to pave 2/15 miles of the highway. It is required to find the portion of mile these workers will pave in 1 hour. We already know that 1 hour is equal to 60 minutes. This information will help to solve the problem.
In 20 minutes the crew of workers pave = 2/15 miles
In 60 minutes the crew of same workers will pave = (2/15) * (60/20)
= (2/15) * 3
= 2/5 miles
So the crew of workers working at the same rate will pave a portion of 2/5 miles in 1 hour.
Answer:
$32.55
Step-by-step explanation:
Answer:
Both versions of the expression equal the exact same amount;one is just much shorter.Simplifying algebraic expressions is the same idea,except you have variables in your expression.So,Basically you're turning a long expression into something you can easily make sense of