Answer:
$4.53
Step-by-step explanation:
Let us represent
The cost of a
Packet of tea = x
Packet of coffee = y
Five packets of tea and seven of coffee cost $39.40
5x + 7y = 39.40.....Equation 1
Three packets of tea and five of coffee cost $26.20.
3x + 5y = 26.20.......Equation 2
Combining both Equations
5x + 7y = 39.40.....Equation 1
3x + 5y = 26.20.......Equation 2
Multiply Equation 1 by 5 and Equation 2 by 7 to eliminate y
25x + 35y = 197.... Equation 3
21x + 35y = 183.4......Equation 4
Subtract Equation 4 from 3
3x = 13.6
x = 13.6/3
x = $4.53
Therefore, the cost of a packet of tea is $4.53
