Vicky bought 3 1/2
• 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)
O: 3.5 = 3.90; Vicky paid $13.65.
O 3.90c = 3.5; Vicky paid $0.90.
O 3.90 = 3.5; Vicky paid $1.11.
O 3.00 = c; Vicky paid $13.65.
The correct equation represents the total cost, c, Vicky paid for the oranges and the amount of money she spent is:
3.90 * 3.5 = c; Vicky paid $13.65.
To find the total cost, c, that Vicky paid for the oranges, we need to multiply the amount of oranges purchased (3 1/2) by the cost per pound ($3.90).
So, the equation that represents the total cost, c, is:
c = 3 1/2 * $3.90
To simplify this equation, we need to convert the mixed number 3 1/2 to an improper fraction.
3 1/2 = (2*3 + 1)/2 = 7/2
Therefore, the equation becomes:
c = 7/2 * $3.90
To multiply a fraction by a whole number, we multiply the numerator by the whole number and keep the denominator the same.
c = (7 * $3.90) / 2
Now, we can multiply the numerator (7) by the cost per pound ($3.90):
c = $27.30 / 2
Finally, we divide $27.30 by 2 to find the total cost, c:
c = $13.65
So the correct equation is:
c = $13.65
Therefore, the option representing the total cost, c, that Vicky paid for the oranges is:
Option O: 3.5 = 3.90; Vicky paid $13.65.
To find the total cost, c, Vicky paid for the oranges, we need to multiply the number of pounds she bought (3 1/2) by the cost per pound ($3.90).
Step 1: Convert the mixed number 3 1/2 into an improper fraction.
3 1/2 = (3 * 2 + 1)/2 = 7/2
Step 2: Multiply the improper fraction by the cost per pound.
c = (7/2) * $3.90
Step 3: Calculate the product.
c = $13.65
So, the correct equation representing the total cost, c, Vicky paid for the oranges and the amount of money she spent is:
4. O: 3.5 = 3.90; Vicky paid $13.65.