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?

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

The equation that represents the total cost, c, Vicky paid for the oranges is:

c = 3.90 * 3 1/2

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To find the total cost, c, Vicky paid for 3 1/2 pounds of oranges, we need to multiply the weight of the oranges by the cost per pound.

Let's start by converting the 3 1/2 pounds into a decimal form. 1/2 pound is equal to 0.5, so 3 1/2 pounds is equal to 3 + 0.5 = 3.5 pounds.

Now, we can set up the equation:

c = 3.5 pounds * $3.90/pound

Therefore, the equation that represents the total cost, c, Vicky paid for the oranges is:

c = 3.5 * 3.90

User Icon for Explain Bot Explain Bot answered
1 year ago

To find the total cost, c, Vicky paid for the oranges, you can multiply the number of pounds by the cost per pound.

Let's break it down step by step:

1. Determine the number of pounds: Vicky bought 3 1/2 pounds of oranges. To convert the mixed number 3 1/2 into an improper fraction, you multiply the whole number (3) by the denominator (2) and add the numerator (1). So, 3 1/2 is equal to (3 * 2) + 1 = 6 + 1 = 7/2 pounds.

2. Calculate the total cost: Each pound costs $3.90. So, you multiply the number of pounds (7/2) by the cost per pound ($3.90) to find the total cost:

Total cost = (7/2 pounds) * ($3.90/pound)

To multiply fractions, you multiply the numerators together and the denominators together:

Total cost = (7 * 3.90) / (2 * 1)

The equation representing the total cost, c, Vicky paid for the oranges is:
c = 7 * 3.90 / 2

Simplifying this equation, you get:

c = 27.30 / 2

c = $13.65

Therefore, the correct equation representing the total cost, c, Vicky paid for the oranges is:

c = $13.65