Vicky bought three and a half pounds of oranges each pound cost $3.90 which of the following equations represents the total cost of C Vicky paid for the oranges and the amount of money she spent.

A. C/3.5 =3.90 vicky paid $13.65
B. 3.90c =3.5 vicky paid $0.90
C. c/3.90 = 3.5 Vicky paid $1.11
D. 3.90/3.5 = c Vicky paid $13.65

1 answer

To find the total cost \( C \) that Vicky paid for the oranges, we can use the following formula:

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

In this case, Vicky bought 3.5 pounds of oranges, each costing $3.90. Thus, the equation to represent the total cost would be:

\[ C = 3.5 \times 3.90 \]

Calculating that:

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

So, the correct way to express the total cost and the number of pounds of oranges is:

\[ C = 3.5 \times 3.90 \]

Now, looking at the options given:

A. \( C/3.5 = 3.90 \) (This means \( C = 3.90 \times 3.5 \), which is incorrect)

B. \( 3.90C = 3.5 \) (This is incorrect because the equation doesn't correctly represent the total cost and price per pound)

C. \( C/3.90 = 3.5 \) (This means \( C = 3.90 \times 3.5 \), which is correct)

D. \( 3.90/3.5 = C \) (This is incorrect since it doesn't represent the total cost)

Thus, option C, \( C/3.90 = 3.5 \), is the one that correctly represents the total cost Vicky paid for the oranges, and she spent $13.65.