Answer:
D.$3.95
Step-by-step explanation:
Let us represent
12-ounce cup = x
16-ounce cup = y
A customer orders a round of coffee for her friends.
If she orders two 12-ounce cups and one 16-ounce cup, she will owe the coffee shop $10.75.
Hence:
2x + y = 10.75.....Equation 1
y = 10.75 - 2x
If she orders one 12-ounce cup and two 16-ounce cups, she will owe the coffee shop $11.30.
Hence:
x + 2y = 11.30.....Equation 2
We substitute 10.75 -2x for y in Equation 2
x + 2(10.75 - 2x) = 11.30
x + 21.50 - 4x = 11.30
Collect like terms
x - 4x = 11.30 - 21.50
-3x = -10.20
x = -10.20/-3
x = $3.40
Solving for y
y = 10.75 - 2x
y = 10.75 - 2($3.40)
y = 10.75 - 6.8
y = $3.95
Therefore , 16-ounce cup is represented by y, the cost for a 16-ounce cup of coffee is $3.95
Option D is correct
