Coffee A is 12.241 pounds, Coffee B is 18.269 pounds and Coffee C is 24.482 pounds.
<h3>What is Algebra?</h3>
A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Let a pounds of coffee A needed
Let b pounds of coffee B needed
Let c pounds of coffee C needed
c= 2a.................(1)
a+ b+c= 55..........(2)
and, 14.99 a+ 13.99 b + 10.39 c /55 = 12.61
1499a + 1399 b + 1039 c = 69,355...............(3)
Subtract (2) from (3), we get
1499 a+ 1399 b + 1039 c= 69355
- 1039 a - 1039 b - 1039 c = 57145
_____________________________
460 a + 360 b = 12210
46a+ 36 b = 1221
b= 1221/ 36 - 46 a/ 36
b= 407 / 12 - 23 a / 18
Put b in Equation (2)
a + 407 / 12 - 23 a / 18 + 2a= 55
-5a / 18 + 2a + 407/ 12 = 55
31a/ 18 = 253/ 12
a= 4554 / 372
a = 2277/ 186
a= 759/ 62
a= 12.241
and, c=2a = 24.482
b= 33.91 - 15.641
b= 18.269
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