Students conducting a science experiment in a classroom.

Problem Description:

The task involves analyzing a scenario where a student, Mr. Goldie, is given a weekly allowance of $20 and must manage his expenses for the week. The goal is to determine whether Mr. Goldie can afford all his planned expenditures without exceeding his allowance.

#### Key Information:
1. Weekly Allowance: $20
2. Expenses:
- Monday: $5 (lunch)
- Tuesday: $3 (snacks)
- Wednesday: $4 (movie ticket)
- Thursday: $6 (gaming subscription)
- Friday: $2 (transportation)

#### Task:
Determine if Mr. Goldie can afford all his planned expenditures without exceeding his weekly allowance of $20. If he cannot, identify which day(s) he needs to cut back on spending.

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Solution Approach:

#### Step 1: Sum up all the planned expenditures.
We need to calculate the total amount Mr. Goldie plans to spend over the week by adding up the expenses for each day.

- Monday: $5
- Tuesday: $3
- Wednesday: $4
- Thursday: $6
- Friday: $2

Total expenditure = $5 + $3 + $4 + $6 + $2

#### Step 2: Perform the calculation.
\[
\text{Total expenditure} = 5 + 3 + 4 + 6 + 2 = 20
\]

#### Step 3: Compare the total expenditure with the weekly allowance.
Mr. Goldie's weekly allowance is $20. The total planned expenditure is also $20.

Since the total expenditure equals the weekly allowance, Mr. Goldie can afford all his planned expenditures without exceeding his allowance.

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Final Answer:

\[
\boxed{\text{Yes, Mr. Goldie can afford all his planned expenditures.}}
\]

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Explanation:

Mr. Goldie's total planned expenses for the week are exactly equal to his weekly allowance of $20. Therefore, he does not need to cut back on any spending, as he will use his entire allowance but will not exceed it. This ensures that he can cover all his planned expenses without running into financial difficulties.