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Last week, Pablo deposited a $1000 cheque from his restaurant job and spent $4000 on an electric range. What was the change in how much money Pablo had?

Question

Last week, Pablo deposited a 1000chequefromhisrestaurantjobandspent1000 cheque from his restaurant job and spent 4000 on an electric range.

What was the change in how much money Pablo had?

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Solution

1. Break Down the Problem

We need to determine the change in Pablo's money after he made a deposit and then an expenditure. We'll calculate:

  1. The initial amount after the deposit.
  2. The total amount after the expenditure.
  3. The change in his total money.

2. Relevant Concepts

We can use basic arithmetic operations for this problem. Specifically, the change in Pablo's money can be expressed as:

Change=Final AmountInitial Amount \text{Change} = \text{Final Amount} - \text{Initial Amount}

Where the Final Amount is after the expenditure, and Initial Amount includes the deposit.

3. Analysis and Detail

  1. Initial Amount: Pablo deposited $1000 from his job. Initial Amount=0+1000=1000 \text{Initial Amount} = 0 + 1000 = 1000

  2. Expenditure: Pablo spent $4000 on an electric range. Final Amount=Initial AmountExpenditure=10004000 \text{Final Amount} = \text{Initial Amount} - \text{Expenditure} = 1000 - 4000 Final Amount=10004000=3000 \text{Final Amount} = 1000 - 4000 = -3000

4. Verify and Summarize

The calculations show that after spending 4000,Pabloisleftwith4000, Pablo is left with -3000, indicating he has overspent beyond his available amount.

Final Answer

Pablo’s change in money is $3000-\$3000.

This problem has been solved

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