A grocer utilized 240 pounds of a $3.20 coffee as well as 160 pounds of a $2.70 coffee; by simply solving the system of equations.
<h3>What is system of linear equation?</h3>
Any collection with one or much more linear equations containing the same variables is referred to as a set of linear equations (also linear system) in mathematics.
Calculation for the system of equations;
Let 'x' is pounds of the $2.70 coffee used.
Let 'y' is pounds of the $3.20 coffee used.
Since, they produce 400 pounds of a mixture, the following follows:
x + y = 400
The set of equations is thus:
x + y = 400
x×(2.70) + y×(3.20) = 400×(3.00)
We take a single variables out of a single equations in order to solve this. Isolating x from the first equation, for instance, yields:
x = 400 - y
Now we can swap that out for that in the second equation to obtain:
(400 - y)×2.70 + y×3.20 = 400×3.00
Then, calculate the value of y;
400×2.70 - y×2.70 + y×3.20 = 400×3.00
y×0.50 = 400×3.00 - 400×2.70 = 400×0.30
y = ( 400×0.30)/0.50
= 240
y = 240
Substitute the value of y in x;
x = 400 - y
= 400 - 240
x = 160
Therefore, grocer utilized 160 pounds of the $2.70 coffee and 240 pounds of the $3.20 coffee.
To know more about system of linear equation, here
brainly.com/question/13729904
#SPJ4