Answer:
a) 3x + 2y = 9.75, 5x + y = 12.75 is the required system of equations.
b) The cost of 1 soda = $1. 5
c) The cost of 1 taco = $2.25
Step-by-step explanation:
Let the cost of each taco = $x
Let the cost of each soda = $y
Now, according to the question:
3x + 2y = $9.75
5x + y = $12.75 are the required system of equations.
Now, substituting the value of y = 12.75 - 5x in (1).
⇒The equation 3x + 2y = 9.75 becomes 3x + 2(12.75 -5x) = 9.75
or, 3x - 10x + 25.5 = 9.75
or, -7x = -15.75
⇒ x = 15.75/7 = 2.25
Hence, the cost of 1 taco = $x = $2.25
Now, y = 12.75 - 5x
= 12.75 - 5(2.25) = 12.75 - 11.25 = = 1.5
or, y = $1.5.
Hence, the cost of 1 soda = $y = $1.5
