product of the marbles they now have is
\[124\].
Let
\[A\] be the number of marbles Amara started with.
Which of the following quadratic equations does
\[A\] satisfy?
Choose 1 answer:
Choose 1 answer:
(Choice A)
\[A^2 - 45A +324 = 0\]
A
\[A^2 - 45A +324 = 0\]
(Choice B)
\[A^2 - 45A -324 = 0\]
B
\[A^2 - 45A -324 = 0\]
(Choice C)
\[A^2 + 45A -324 = 0\]
C
\[A^2 + 45A -324 = 0\]
(Choice D)
\[A^2 + 45A +324 = 0\]
D
\[A^2 + 45A +324 = 0\]
Answer (1)
The Problem: * Given: The product of the number of marbles Amara and a second person have is 124. * Variable: Let A be the number of marbles Amara started with.To solve this, you need two additional pieces of information that are missing from the prompt: * The number of marbles the second person started with. * How many marbles were given or received by Amara and the second person.How to Solve a Similar Problem:Let's assume a hypothetical scenario to demonstrate the process.Hypothetical Problem:Amara started with A marbles. Ben started with B marbles. Ben gave Amara 3 marbles. After this, the product of their marbles is 124.Step 1: Write an equation for each person's new total. * Amara's new total: A + 3 * Ben's new total: B - 3Step 2: Write an equation for the product of their new totals. * The problem states the product is 124. So, (A + 3) * (B - 3) = 124Step 3: Solve the equation.To find the value of A, you would need to know the initial value of B. Once you have B, you can substitute it into the equation and solve for A.Example:If Ben started with 10 marbles, the equation would be: * (A + 3) * (10 - 3) = 124 * (A + 3) * 7 = 124 * A + 3 = 124 / 7 * A + 3 ≈ 17.71 * A ≈ 14.71Since the number of marbles must be a whole number, this example doesn't work. This shows why knowing the exact numbers from the original problem is crucial.You need to re-examine the original question on the website and find the missing values for the other person to be able to solve for A.
