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)
Responses

c/3.90=3.5; Vicky paid $1.11.
Start Fraction c over 3.90 End Fraction equals 3.5 ; Vicky paid $1.11.

3.90/3.5=c; Vicky paid $13.65.
Start Fraction 3.90 over 3.5 End Fraction equals c ; Vicky paid $13.65.

c/3.5=3.90; Vicky paid $13.65.
Start Fraction c over 3.5 End Fraction equals 3.90 ; Vicky paid $13.65.

3.90c=3.5; Vicky paid $0.90.

1 answer

To find the total cost \( c \) that Vicky paid for the oranges, we can set up the equation based on the number of pounds she bought and the cost per pound.

Vicky bought \( 3 \frac{1}{2} \) pounds of oranges, which can be converted to improper fraction form as:

\[ 3 \frac{1}{2} = \frac{7}{2} \text{ pounds} \]

The cost per pound is $3.90. Therefore, the total cost can be calculated as:

\[ c = \text{(number of pounds)} \times \text{(cost per pound)} = \frac{7}{2} \times 3.90 \]

Now we need to simplify the equation:

\[ c = \frac{7 \cdot 3.90}{2} \]

To find total cost, we can also write it as:

\[ c = 3.90 \cdot \frac{7}{2} = 3.90 \cdot 3.5 \]

So we can express this as:

\[ c = 3.90 \cdot 3.5 \]

Calculating the total cost:

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

Now, we can look for the equation that represents this situation from the provided options.

The suitable equation that describes \( c \) is:

c = 3.90 * 3.5; Vicky paid $13.65.

This does not appear in your options verbatim, but it corresponds closely to the relationships presented.

Thus the correct interpretation from the options is:

Start Fraction c over 3.5 End Fraction equals 3.90; Vicky paid $13.65.

This can be rewritten to reflect:

\[ \frac{c}{3.5} = 3.90 \]

Thus the equation:

\[ c = 3.5 \times 3.90 \]

Final Answer:

Start Fraction c over 3.5 End Fraction equals 3.90; Vicky paid $13.65.