Vicky bought 3 1/2 pounds of oranges. Each pound costs $3.90. Which of the following equations represents the total cost, c, Vicky paid for the oranges and the amount of money she spent?
A. c/3.5 = 3.90; Vicky paid $13.65
B. c/3.90 = 3.5; Vicky paid $1.11
C. 3.90/3.5 = C; Vicky paid $13.65
D. 3.90c=3.5; Vicky paid $0.90
The correct equation to represent the total cost, c, that Vicky paid for the oranges and the amount of money she spent would be:
D. 3.90c = 3.5
This equation represents that Vicky paid a certain amount per pound (3.90) and that amount is multiplied by the number of pounds (3.5) to get the total cost.
The incorrect statements in the other options are:
A. The equation is dividing the total cost (c) by the number of pounds (3.5), which is not correct.
B. The equation is dividing the total cost (c) by the cost per pound (3.90), which is not correct.
C. The equation is dividing the cost per pound (3.90) by the number of pounds (3.5), which is not correct.
To find the total cost, we need to multiply the weight of the oranges by the cost per pound.
Vicky bought 3 1/2 pounds of oranges, which is equivalent to 3.5 pounds. The cost per pound is $3.90.
The equation that represents the total cost, c, is given by:
c = 3.5 * 3.90
Simplifying this equation:
c = 13.65
So, Vicky paid $13.65 for the oranges.
The correct equation is option A:
c/3.5 = 3.90; Vicky paid $13.65
To find the total cost, c, Vicky paid for the oranges, we need to multiply the weight of the oranges by the cost per pound.
First, let's calculate the total cost by multiplying the weight of the oranges, which is 3 1/2 pounds. We can express this as a fraction, 3 1/2 = 7/2.
Next, we multiply the weight by the cost per pound, which is $3.90.
Therefore, the total cost, c, can be found by the equation: c = (7/2) * $3.90.
To simplify this equation, we multiply the numerator (7) by the cost per pound ($3.90) and divide the result by the denominator (2).
c = (7 * $3.90)/2.
This simplifies to:
c = $27.30/2,
c = $13.65.
So, Vicky paid $13.65 for the oranges.
Among the given options, the equation that represents the total cost, c, and the amount of money Vicky spent is option A: c/3.5 = $3.90; Vicky paid $13.65.