Answer:
10 pounds
Step-by-step explanation:
C = pounds of chamomile tea
O = pounds of orange tea
X = pounds
C * 18.20 + 0*12.22 = X * 14.52
0 = 16 lb
we propose an equation about the amount of money that will come out and another equation only with the liters that will be
C * 18.20 + 16*12.22 = X * 14.52
18.20C + 195.52 = 14.52X
14.52X - 18.20C = 195.52
C + 0 = X
C + 16 = X
14.52(C + 16) - 18.20C = 195.52
14.52C + 232.32 - 18.20 = 195.52
14.52C - 18.20 = 195.52 - 232.32
-3.68C = -36.8
C = -36.8/-3.68
C = 10
Answer: the number of pounds of chamomile tea that must be mixed is 10
Step-by-step explanation:
Let x represent the number of pounds of chamomile tea that must be mixed.
The chamomile tea costs 18.20 per pound. This means that the cost of x pounds is 18.2 × x = 18.2x
The orange tea costs 12.22 per pound. This means that the cost of 16 pounds would be
16 × 12.22 = 195.52
The mixture costs 14.52 per pound. This means that the total cost of the mixture made is
14.52(16 + x)
Therefore
18.2x + 195.52 = 14.52(16 + x)
18.2x + 195.52 = 232.32 + 14.52x
18.2x - 14.52x = 232.32 - 195.52
3.68x = 36.8
x = 36.8/3.68
x = 10
