Question

each package of flour a baker has contains 17 cups of flour. the baker uses a total of 76.5 cups of flour to make cakes in one day. which multiplication equation can be used to find how many packages of flour f the baker uses to make the cakes?
o a) 17f = 76.5
o b) 17(76.5) = f
o c) 76.5f = 17
o d) 76.5f = 17f

Explanation:

Step1: Define the relationship

Let \( f \) be the number of packages. Each package has 17 cups, so total cups used is \( 17 \times f \). The total cups used is 76.5. So the equation is \( 17f = 76.5 \).

Step2: Analyze options

• Option A: \( 17f = 76.5 \) matches our derived equation.
• Option B: \( 17(76.5)=f \) is incorrect as it multiplies 17 and 76.5 for \( f \).
• Option C: \( 76.5f = 17 \) is incorrect, it reverses the relationship.
• Option D: \( 76.5f = 17f \) simplifies to \( 76.5 = 17 \), which is false.

Answer:

A) \( 17f = 76.5 \)