A] Given that the number of the unknowns are two, that is, x which represents the amount of the 20% blend and y which represents the amount of 80% blend, the system that models this situation is simultaneous equation.
b] The solution to the equation will be as follows;
Total amount of coffee to be made is:
x+y=5.........i
The percentage amount will be:
0.2x+0.8y=0.6*5
0.2x+0.8y=3.......ii
from eqn i
y=5-x.......iii
substituting iii in ii we get
0.2x+0.8(5-x)=3
0.2x+4-0.8x=3
solving for x we get:
0.2x-0.8x=3-4
-0.6x=-1
thus
x=1/0.6
x=5/3
y=5-x
y=5-5/3=10/3
thus the amount of x mixed is 5/3 lb and that of y is 10/3 lb
this is the answer. this should help
In order to solve this problem, you must first make sure both fractions have the same denominator. In this instance, you have both a fraction and a whole number.
This actually makes it easier, since 15 can also be 14 8/8 which satisfies the need for the same denominator.
New expression:
14 8/8 - 7 5/8
Subtract the whole numbers
14 - 7 = 7
subtract the numerators
8 - 5 = 3
Answer is 7 3/8
He has 576.50 now in his account
