Questions: Fred has 200. Each week he will save an additional 50. If Fred does not spend any of the money, how many weeks will it take for Fred to have 650?

Transcript text: 37. Fred has $\$ 200$. Each week he will save an additional $\$ 50$, If Fred does not spend any of the money, how many weeks will it take for Fred to have $\$ 650$ ? A 9 B $\quad 13$ C $\quad 17$

Solution

Solution Steps

Step 1: Understand the problem

Fred starts with \$200 and saves an additional \$50 each week. We need to determine how many weeks it will take for Fred to have a total of \$650.

Step 2: Set up the equation

Let $ w $ represent the number of weeks. The total amount of money Fred will have after $ w $ weeks is given by: \[ 200 + 50w = 650 \]

Step 3: Solve for $ w $

Subtract 200 from both sides of the equation: \[ 50w = 650 - 200 \] \[ 50w = 450 \]

Now, divide both sides by 50: \[ w = \frac{450}{50} \] \[ w = 9 \]

Final Answer

It will take Fred 9 weeks to have \$650. The answer is $\boxed{A}$.

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