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?(1 point)
c/3.90 = 3.5; Vicky paid $1.11. 3.5 ; Vicky paid $1.11.
3.90/3.5 = c; Vicky paid $13.65. c ; Vicky paid $13.65.
c/3.5 = 3.90; Vicky paid $13.65. 3.90 ; Vicky paid $13.65.
3.90c = 3.5; Vicky paid $0.90.

1 answer

To find the total cost, \( c \), Vicky paid for the oranges, you can set up the equation based on the price per pound and the weight of oranges she bought.

Vicky bought \( 3 \frac{1}{2} \) pounds of oranges, which can be expressed as \( 3.5 \) pounds. Each pound costs \( 3.90 \). The total cost \( c \) can be calculated using the equation:

\[ c = (\text{number of pounds}) \times (\text{cost per pound}) \] \[ c = 3.5 \times 3.90 \]

Now, let's perform the calculation:

\[ c = 3.5 \times 3.90 = 13.65 \]

Thus, the equation representing the total cost is:

\[ c = 3.5 \times 3.90 \]

Now, let's analyze the options provided:

  1. c/3.90 = 3.5; Vicky paid $1.11.
  2. 3.90/3.5 = c; Vicky paid $13.65.
  3. c/3.5 = 3.90; Vicky paid $13.65.
  4. 3.90c = 3.5; Vicky paid $0.90.

The correct way to express the total cost \( c \) is not directly among the options, but it can be noted that the calculation of \( 3.5 \times 3.90 = 13.65 \) aligns with \( c = 13.65 \).

The most relevant option is:

3.90/3.5 = c; Vicky paid $13.65.

This option correctly uses the relationship of price per pound to total cost and gives the correct total amount spent.