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?
The equation that represents the total cost, c, Vicky paid for the oranges is:
c = 3.90 * 3 1/2
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
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